From 3afe7c3fb6a7dcc39f317cd1b8f0a1432b7cb60a Mon Sep 17 00:00:00 2001 From: Ana Maria Echeverri Date: Tue, 27 Jan 2015 22:51:55 -0500 Subject: [PATCH 1/6] chart hw --- charting.ipynb | 280 +++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 280 insertions(+) create mode 100644 charting.ipynb diff --git a/charting.ipynb b/charting.ipynb new file mode 100644 index 0000000..f1cb4de --- /dev/null +++ b/charting.ipynb @@ -0,0 +1,280 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:82423d98297fd8f7afbb3b791531e920d5b8ed38ab451f00c8ce8c6dc488c93d" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "code", + "collapsed": false, + "input": [], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 14 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 14 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 14 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 12 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [], + "language": "python", + "metadata": {}, + "outputs": [] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [], + "language": "python", + "metadata": {}, + "outputs": [] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import random\n", + "import seaborn\n", + "import math\n", + "import statistics as st\n", + "import matplotlib.pyplot as plt\n", + "\n", + "\n", + "%matplotlib inline\n", + "\n", + "\n", + "\n", + "def flipcoin():\n", + " coin = [\"H\", \"T\"]\n", + " return random.choice(coin)\n", + "\n", + "\n", + "def flip_simulation(n=100000):\n", + " obs_to_store = [pow(2, num) for num in range(n) if pow(2, num) <= n]\n", + " flip_counts = []\n", + " counter = {'Heads': 0, 'Tails': 0}\n", + " for flip in range(1, n+1):\n", + " result = flipcoin()\n", + " if result == \"H\":\n", + " counter['Heads'] += 1\n", + " elif result == \"T\":\n", + " counter['Tails'] += 1\n", + " if flip in obs_to_store:\n", + " flip_counts.append(dict(counter))\n", + " flip_counts.append(dict(counter))\n", + " return flip_counts\n", + "\n", + "\n", + "def head_minus_tail(object_list):\n", + " return [object_list[ind]['Heads'] - object_list[ind]['Tails']\n", + " for ind in range(0, len(object_list))]\n", + "\n", + "\n", + "def ratios(object_list):\n", + " return ([object_list[ind]['Heads'] /\n", + " (object_list[ind]['Tails'] + object_list[ind]['Heads'])\n", + " for ind in range(0, len(object_list))])\n", + "\n", + "\n", + "def line_plot(object_list, xlabel, ylabel, title):\n", + " plt.xlabel(xlabel)\n", + " plt.ylabel(ylabel)\n", + " plt.title(title)\n", + " plt.plot(object_list)\n", + " plt.show()\n", + "\n", + "\n", + "def log_line_plot(object_list, title, x=True, y=False):\n", + " plt.plot(object_list, 'bo')\n", + " if x:\n", + " plt.xscale('log')\n", + " if y:\n", + " plt.yscale('log')\n", + " plt.title(title)\n", + " plt.show()\n", + "\n", + "\n", + "def run_trial(trials, flips):\n", + " return [flip_simulation(flips)\n", + " for flip in range(trials)]\n", + "\n", + "\n", + "def trial_ratio(trial_object_list):\n", + " return [ratios(trial_object_list[trial])\n", + " for trial in range(len(trial_object_list))]\n", + "\n", + "\n", + "def means(all_list):\n", + " return [st.mean(all_list[ratio])\n", + " for ratio in range(len(all_list))]\n", + "\n", + "\n", + "def std_dev(all_list):\n", + " return [st.stdev(all_list[ratio])\n", + " for ratio in range(len(all_list))]\n", + "\n", + "\n", + "def histogram(list_to_plot, title):\n", + " plt.hist(list_to_plot)\n", + " plt.xlabel(\"Number\")\n", + " plt.ylabel(\"frequency\")\n", + " plt.title(title)\n", + " plt.show()\n", + "\n", + "\n", + "def box_plot(list_to_plot, title, xticks):\n", + " plt.boxplot(list_to_plot)\n", + " plt.title(title)\n", + " plt.xticks(range(1, len(list_to_plot)), xticks)\n", + " plt.show()\n", + "\n", + "if __name__ == '__main__':\n", + " heads_tails = flip_simulation(100000)\n", + " diff_head_tail = head_minus_tail(heads_tails)\n", + " ratio_head_tail = ratios(heads_tails)\n", + " # Charts\n", + " line_plot(diff_head_tail, \"Obs#\", \"Difference\", \"100,000 Coin Flips\")\n", + " line_plot(ratio_head_tail, \"Obs#\", \"Heads Ratio\", \"100,000 Coin Flips\")\n", + " log_line_plot(diff_head_tail, \"Difference - Log Scale - 100,000 Coin Flips\")\n", + " log_line_plot(ratio_head_tail, \" Heads Ratio - Log Scale - 100,000 Coin Flips\")\n", + "\n", + " trials = run_trial(20, 100000)\n", + " trial_ratios = trial_ratio(trials)\n", + " ratio_means = means(trial_ratios)\n", + " ratio_std = std_dev(trial_ratios)\n", + " log_line_plot(ratio_means, \"Means\")\n", + " log_line_plot(ratio_std, \"Standard Deviations\", y=True)\n", + "\n", + " trials100 = run_trial(100000, 100)\n", + " trial_ratios100 = trial_ratio(trials100)\n", + " means100 = means(trial_ratios100)\n", + " histogram(means100, \"Histogram for 100,000 Trials of 100 flips\")\n", + " trials1000 = run_trial(100000, 1000)\n", + " trial_ratios1000 = trial_ratio(trials1000)\n", + " means1000 = means(trial_ratios1000)\n", + " histogram(means1000, \"Histogram for 100,000 Trials of 1000 flips\")\n", + " box_plot([means100, means1000], \"Box Plot\", [\"100 flips\", \"1000 flips\"])\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": "iVBORw0KGgoAAAANSUhEUgAAAY0AAAEZCAYAAABrUHmEAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", + "text": [ + "" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": "iVBORw0KGgoAAAANSUhEUgAAAYUAAAEZCAYAAAB4hzlwAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRES6KSmIiEi3/w/H7VbpexskrgAAAABJRU5ErkJggg==\n", + "text": [ + "" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": "iVBORw0KGgoAAAANSUhEUgAAAYIAAAEPCAYAAABP1MOPAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQmCC\n", + "text": [ + "" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": "iVBORw0KGgoAAAANSUhEUgAAAXkAAAEPCAYAAACneLThAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", + "text": [ + "" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": "iVBORw0KGgoAAAANSUhEUgAAAX8AAAEPCAYAAACqZsSmAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRK5CYII=\n", + "text": [ + "" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": "iVBORw0KGgoAAAANSUhEUgAAAX4AAAEPCAYAAABFpK+YAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nxuCXpMIY/JJUGINfkgpj8EtSYf4f7ARB08BjX7sAAAAASUVORK5CYII=\n", + "text": [ + "" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": "iVBORw0KGgoAAAANSUhEUgAAAZMAAAEZCAYAAABSN8jfAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAAElFTkSuQmCC\n", + "text": [ + "" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": "iVBORw0KGgoAAAANSUhEUgAAAZQAAAEZCAYAAACw69OmAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n5nunhWB6mwAAAABJRU5ErkJggg==\n", + "text": [ + "" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": "iVBORw0KGgoAAAANSUhEUgAAAXEAAAEKCAYAAADkYmWmAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", + "text": [ + "" + ] + } + ], + "prompt_number": 10 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [], + "language": "python", + "metadata": {}, + "outputs": [] + } + ], + "metadata": {} + } + ] +} \ No newline at end of file From f39e9bff2278d51d8377236732682ea37573ab01 Mon Sep 17 00:00:00 2001 From: Ana Maria Echeverri Date: Tue, 27 Jan 2015 22:52:21 -0500 Subject: [PATCH 2/6] test file --- tests_coins.py.ipynb | 91 ++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 91 insertions(+) create mode 100644 tests_coins.py.ipynb diff --git a/tests_coins.py.ipynb b/tests_coins.py.ipynb new file mode 100644 index 0000000..a9e8871 --- /dev/null +++ b/tests_coins.py.ipynb @@ -0,0 +1,91 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:86c8fb0e4fe6c4c520c241d41fb5efd84b3120e17822ea82db072e2ea88c054e" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "\n", + "from charting import *\n", + "\n", + "sim = flip_simulation(10)\n", + "le_sim = int(len(sim))\n", + "\n", + "\n", + "def test_coin_flip():\n", + " assert flipcoin() in [\"H\", \"T\"]\n", + "\n", + "\n", + "def test_flip_simulation():\n", + " assert le_sim == 5\n", + "\n", + "\n", + "def test_minus():\n", + " minuslist = head_minus_tail(sim)\n", + " assert minuslist[0] == sim[0]['Heads'] - sim[0]['Tails']\n", + " assert len(minuslist) == len(sim)\n", + "\n", + "\n", + "def test_ratios():\n", + " ratiolist = ratios(sim)\n", + " assert ratiolist[0] == (sim[0]['Heads']\n", + " / (sim[0]['Heads'] + sim[0]['Tails']))\n", + " assert len(ratiolist) == le_sim\n", + "\n", + "\n", + "def test_run_trial():\n", + " trials = run_trial(2, 10)\n", + " assert len(trials) == 2\n", + " assert len(trials[0]) == le_sim\n", + "\n", + "\n", + "def test_trial_ratios():\n", + " trials = run_trial(2, 10)\n", + " trial_ratios = trial_ratio(trials)\n", + " assert len(trial_ratios[0]) == le_sim\n", + "\n", + "\n", + "def test_means():\n", + " a = [[1, 2, 3, 4], [5, 6, 7, 6]]\n", + " assert means(a) == [2.5, 6]\n", + "\n", + "\n", + "def test_st_dev():\n", + " a = [[1, 2, 3, 4], [5, 6, 7, 6]]\n", + " assert std_dev(a) == [1.2909944487358056, 0.816496580927726]\n" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 1 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 3 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [], + "language": "python", + "metadata": {}, + "outputs": [] + } + ], + "metadata": {} + } + ] +} \ No newline at end of file From 9d51eb0cd7e5faaa4881449b17ba03a5e8f4cfbb Mon Sep 17 00:00:00 2001 From: Ana Maria Echeverri Date: Tue, 27 Jan 2015 22:55:48 -0500 Subject: [PATCH 3/6] python code - trouble with notebook --- dice_simulation.py | 123 +++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 123 insertions(+) create mode 100644 dice_simulation.py diff --git a/dice_simulation.py b/dice_simulation.py new file mode 100644 index 0000000..e8bc248 --- /dev/null +++ b/dice_simulation.py @@ -0,0 +1,123 @@ +import random +import seaborn +import math +import statistics as st +import matplotlib.pyplot as plt + + +def flipcoin(): + coin = ["H", "T"] + return random.choice(coin) + + +def flip_simulation(n=100000): + obs_to_store = [pow(2, num) for num in range(n) if pow(2, num) <= n] + flip_counts = [] + counter = {'Heads': 0, 'Tails': 0} + for flip in range(1, n+1): + result = flipcoin() + if result == "H": + counter['Heads'] += 1 + elif result == "T": + counter['Tails'] += 1 + if flip in obs_to_store: + flip_counts.append(dict(counter)) + flip_counts.append(dict(counter)) + return flip_counts + + +def head_minus_tail(object_list): + return [object_list[ind]['Heads'] - object_list[ind]['Tails'] + for ind in range(0, len(object_list))] + + +def ratios(object_list): + return ([object_list[ind]['Heads'] / + (object_list[ind]['Tails'] + object_list[ind]['Heads']) + for ind in range(0, len(object_list))]) + + +def line_plot(object_list, xlabel, ylabel, title): + plt.xlabel(xlabel) + plt.ylabel(ylabel) + plt.title(title) + plt.plot(object_list) + plt.show() + + +def log_line_plot(object_list, title, x=True, y=False): + plt.plot(object_list, 'bo') + if x: + plt.xscale('log') + if y: + plt.yscale('log') + plt.title(title) + plt.show() + + +def run_trial(trials, flips): + return [flip_simulation(flips) + for flip in range(trials)] + + +def trial_ratio(trial_object_list): + return [ratios(trial_object_list[trial]) + for trial in range(len(trial_object_list))] + + +def means(all_list): + return [st.mean(all_list[ratio]) + for ratio in range(len(all_list))] + + +def std_dev(all_list): + return [st.stdev(all_list[ratio]) + for ratio in range(len(all_list))] + + +def histogram(list_to_plot, title): + plt.hist(list_to_plot) + plt.xlabel("Number") + plt.ylabel("frequency") + plt.title(title) + plt.show() + + +def box_plot(list_to_plot, title, xticks): + plt.boxplot(list_to_plot) + plt.title(title) + plt.xticks(range(1, len(list_to_plot)), xticks) + plt.show() + + +def box_plot_seaborn(list_to_plot): + sns.set_style("whitegrid") + data = list_to_plot + sns.boxplot(data) + +if __name__ == '__main__': + heads_tails = flip_simulation(100000) + diff_head_tail = head_minus_tail(heads_tails) + ratio_head_tail = ratios(heads_tails) + # Charts + line_plot(diff_head_tail, "Obs#", "Difference", "100,000 Coin Flips") + line_plot(ratio_head_tail, "Obs#", "Heads Ratio", "100,000 Coin Flips") + log_line_plot(diff_head_tail, "Log Scale - 100,000 Coin Flips") + log_line_plot(ratio_head_tail, "Log Scale - 100,000 Coin Flips") + + trials = run_trial(20, 100000) + trial_ratios = trial_ratio(trials) + ratio_means = means(trial_ratios) + ratio_std = std_dev(trial_ratios) + log_line_plot(ratio_means, "Means") + log_line_plot(ratio_std, "Standard Deviations", y=True) + + trials100 = run_trial(100000, 100) + trial_ratios100 = trial_ratio(trials100) + means100 = means(trial_ratios100) + histogram(means100, "Histogram for 100,000 Trials of 100 flips") + trials1000 = run_trial(100000, 1000) + trial_ratios1000 = trial_ratio(trials1000) + means1000 = means(trial_ratios1000) + histogram(means1000, "Histogram for 100,000 Trials of 1000 flips") + box_plot([means100, means1000], "Box Plot", ["100 flips", "1000 flips"]) From d6dc95ca825cd521017cd8c79cfbf040a495ad85 Mon Sep 17 00:00:00 2001 From: Ana Maria Echeverri Date: Tue, 27 Jan 2015 22:56:59 -0500 Subject: [PATCH 4/6] test code --- test_dice.py | 47 +++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 47 insertions(+) create mode 100644 test_dice.py diff --git a/test_dice.py b/test_dice.py new file mode 100644 index 0000000..4bc9440 --- /dev/null +++ b/test_dice.py @@ -0,0 +1,47 @@ +from dice_simulation import * + +sim = flip_simulation(10) +le_sim = int(len(sim)) + + +def test_coin_flip(): + assert flipcoin() in ["H", "T"] + + +def test_flip_simulation(): + assert le_sim == 5 + + +def test_minus(): + minuslist = head_minus_tail(sim) + assert minuslist[0] == sim[0]['Heads'] - sim[0]['Tails'] + assert len(minuslist) == len(sim) + + +def test_ratios(): + ratiolist = ratios(sim) + assert ratiolist[0] == (sim[0]['Heads'] + / (sim[0]['Heads'] + sim[0]['Tails'])) + assert len(ratiolist) == le_sim + + +def test_run_trial(): + trials = run_trial(2, 10) + assert len(trials) == 2 + assert len(trials[0]) == le_sim + + +def test_trial_ratios(): + trials = run_trial(2, 10) + trial_ratios = trial_ratio(trials) + assert len(trial_ratios[0]) == le_sim + + +def test_means(): + a = [[1, 2, 3, 4], [5, 6, 7, 6]] + assert means(a) == [2.5, 6] + + +def test_st_dev(): + a = [[1, 2, 3, 4], [5, 6, 7, 6]] + assert std_dev(a) == [1.2909944487358056, 0.816496580927726] From c3680e782500ca8dca42af9456b8ead47dbe977d Mon Sep 17 00:00:00 2001 From: Ana Maria Echeverri Date: Tue, 27 Jan 2015 22:58:48 -0500 Subject: [PATCH 5/6] Read.me --- README.md | 1 + 1 file changed, 1 insertion(+) diff --git a/README.md b/README.md index 777be4a..adc1a16 100644 --- a/README.md +++ b/README.md @@ -1,3 +1,4 @@ +****** I had technical difficulties with ipython, so I had to turn in python code*** # Chart data ## Description From 17ea031dc4984e2db9bbed65f69ca20940da9c59 Mon Sep 17 00:00:00 2001 From: Ana Maria Echeverri Date: Wed, 28 Jan 2015 09:18:31 -0500 Subject: [PATCH 6/6] Final Working Copy - Notebook --- charting.ipynb | 450 ++++++++++++++++++++++++++++++++++--------------- 1 file changed, 317 insertions(+), 133 deletions(-) diff --git a/charting.ipynb b/charting.ipynb index f1cb4de..34b327b 100644 --- a/charting.ipynb +++ b/charting.ipynb @@ -1,7 +1,7 @@ { "metadata": { "name": "", - "signature": "sha256:82423d98297fd8f7afbb3b791531e920d5b8ed38ab451f00c8ce8c6dc488c93d" + "signature": "sha256:926b9bf5d6b559dd6e84c76e36d2f85d88423594a6a6116c519cee66c5d008a3" }, "nbformat": 3, "nbformat_minor": 0, @@ -11,111 +11,113 @@ { "cell_type": "code", "collapsed": false, - "input": [], + "input": [ + "import random\n", + "import seaborn\n", + "import math\n", + "import statistics as st\n", + "import matplotlib.pyplot as plt" + ], "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 14 + "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, - "input": [], + "input": [ + "%matplotlib inline" + ], "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 14 + "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, - "input": [], + "input": [ + "def flipcoin():\n", + " coin = [\"H\", \"T\"]\n", + " return random.choice(coin)" + ], "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 14 + "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, - "input": [], + "input": [ + "def flip_simulation(n=100000):\n", + " obs_to_store = [pow(2, num) for num in range(n) if pow(2, num) <= n]\n", + " flip_counts = []\n", + " counter = {'Heads': 0, 'Tails': 0}\n", + " for flip in range(1, n+1):\n", + " result = flipcoin()\n", + " if result == \"H\":\n", + " counter['Heads'] += 1\n", + " elif result == \"T\":\n", + " counter['Tails'] += 1\n", + " if flip in obs_to_store:\n", + " flip_counts.append(dict(counter))\n", + " flip_counts.append(dict(counter))\n", + " return flip_counts" + ], "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 12 + "prompt_number": 5 }, { "cell_type": "code", "collapsed": false, - "input": [], + "input": [ + "def head_minus_tail(object_list):\n", + " return [object_list[ind]['Heads'] - object_list[ind]['Tails']\n", + " for ind in range(0, len(object_list))]" + ], "language": "python", "metadata": {}, - "outputs": [] + "outputs": [], + "prompt_number": 6 }, { "cell_type": "code", "collapsed": false, - "input": [], + "input": [ + "def ratios(object_list):\n", + " return ([object_list[ind]['Heads'] /\n", + " (object_list[ind]['Tails'] + object_list[ind]['Heads'])\n", + " for ind in range(0, len(object_list))])\n" + ], "language": "python", "metadata": {}, - "outputs": [] + "outputs": [], + "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [ - "\n", - "import random\n", - "import seaborn\n", - "import math\n", - "import statistics as st\n", - "import matplotlib.pyplot as plt\n", - "\n", - "\n", - "%matplotlib inline\n", - "\n", - "\n", - "\n", - "def flipcoin():\n", - " coin = [\"H\", \"T\"]\n", - " return random.choice(coin)\n", - "\n", - "\n", - "def flip_simulation(n=100000):\n", - " obs_to_store = [pow(2, num) for num in range(n) if pow(2, num) <= n]\n", - " flip_counts = []\n", - " counter = {'Heads': 0, 'Tails': 0}\n", - " for flip in range(1, n+1):\n", - " result = flipcoin()\n", - " if result == \"H\":\n", - " counter['Heads'] += 1\n", - " elif result == \"T\":\n", - " counter['Tails'] += 1\n", - " if flip in obs_to_store:\n", - " flip_counts.append(dict(counter))\n", - " flip_counts.append(dict(counter))\n", - " return flip_counts\n", - "\n", - "\n", - "def head_minus_tail(object_list):\n", - " return [object_list[ind]['Heads'] - object_list[ind]['Tails']\n", - " for ind in range(0, len(object_list))]\n", - "\n", - "\n", - "def ratios(object_list):\n", - " return ([object_list[ind]['Heads'] /\n", - " (object_list[ind]['Tails'] + object_list[ind]['Heads'])\n", - " for ind in range(0, len(object_list))])\n", - "\n", - "\n", "def line_plot(object_list, xlabel, ylabel, title):\n", " plt.xlabel(xlabel)\n", " plt.ylabel(ylabel)\n", " plt.title(title)\n", " plt.plot(object_list)\n", - " plt.show()\n", - "\n", - "\n", + " plt.show()" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 8 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ "def log_line_plot(object_list, title, x=True, y=False):\n", " plt.plot(object_list, 'bo')\n", " if x:\n", @@ -123,69 +125,115 @@ " if y:\n", " plt.yscale('log')\n", " plt.title(title)\n", - " plt.show()\n", - "\n", - "\n", + " plt.show()" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 9 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ "def run_trial(trials, flips):\n", " return [flip_simulation(flips)\n", - " for flip in range(trials)]\n", - "\n", - "\n", + " for flip in range(trials)]" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 10 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ "def trial_ratio(trial_object_list):\n", " return [ratios(trial_object_list[trial])\n", - " for trial in range(len(trial_object_list))]\n", - "\n", - "\n", + " for trial in range(len(trial_object_list))]\n" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 11 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ "def means(all_list):\n", " return [st.mean(all_list[ratio])\n", - " for ratio in range(len(all_list))]\n", - "\n", - "\n", + " for ratio in range(len(all_list))]\n" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 12 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ "def std_dev(all_list):\n", " return [st.stdev(all_list[ratio])\n", - " for ratio in range(len(all_list))]\n", - "\n", - "\n", + " for ratio in range(len(all_list))]" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 13 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ "def histogram(list_to_plot, title):\n", " plt.hist(list_to_plot)\n", " plt.xlabel(\"Number\")\n", " plt.ylabel(\"frequency\")\n", " plt.title(title)\n", - " plt.show()\n", - "\n", - "\n", + " plt.show()" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 14 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ "def box_plot(list_to_plot, title, xticks):\n", " plt.boxplot(list_to_plot)\n", " plt.title(title)\n", " plt.xticks(range(1, len(list_to_plot)), xticks)\n", - " plt.show()\n", - "\n", - "if __name__ == '__main__':\n", - " heads_tails = flip_simulation(100000)\n", - " diff_head_tail = head_minus_tail(heads_tails)\n", - " ratio_head_tail = ratios(heads_tails)\n", - " # Charts\n", - " line_plot(diff_head_tail, \"Obs#\", \"Difference\", \"100,000 Coin Flips\")\n", - " line_plot(ratio_head_tail, \"Obs#\", \"Heads Ratio\", \"100,000 Coin Flips\")\n", - " log_line_plot(diff_head_tail, \"Difference - Log Scale - 100,000 Coin Flips\")\n", - " log_line_plot(ratio_head_tail, \" Heads Ratio - Log Scale - 100,000 Coin Flips\")\n", - "\n", - " trials = run_trial(20, 100000)\n", - " trial_ratios = trial_ratio(trials)\n", - " ratio_means = means(trial_ratios)\n", - " ratio_std = std_dev(trial_ratios)\n", - " log_line_plot(ratio_means, \"Means\")\n", - " log_line_plot(ratio_std, \"Standard Deviations\", y=True)\n", - "\n", - " trials100 = run_trial(100000, 100)\n", - " trial_ratios100 = trial_ratio(trials100)\n", - " means100 = means(trial_ratios100)\n", - " histogram(means100, \"Histogram for 100,000 Trials of 100 flips\")\n", - " trials1000 = run_trial(100000, 1000)\n", - " trial_ratios1000 = trial_ratio(trials1000)\n", - " means1000 = means(trial_ratios1000)\n", - " histogram(means1000, \"Histogram for 100,000 Trials of 1000 flips\")\n", - " box_plot([means100, means1000], \"Box Plot\", [\"100 flips\", \"1000 flips\"])\n" + " plt.show()\n" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 15 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "heads_tails = flip_simulation(100000)\n", + "diff_head_tail = head_minus_tail(heads_tails)\n", + "ratio_head_tail = ratios(heads_tails)\n", + " " + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 17 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "line_plot(diff_head_tail, \"Obs#\", \"Difference\", \"100,000 Coin Flips\")" ], "language": "python", "metadata": {}, @@ -193,77 +241,213 @@ { "metadata": {}, "output_type": "display_data", - "png": "iVBORw0KGgoAAAANSUhEUgAAAY0AAAEZCAYAAABrUHmEAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", + "png": "iVBORw0KGgoAAAANSUhEUgAAAY0AAAEZCAYAAABrUHmEAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzt3Xl8XXWd//HXvVmbZuuSUtoGSrdPS4FulEWggAIKjv4Q\nBsV1WGREnFFg/OEgjiy/kZkBVMQF/CGIghuIgMoPCwragggtSwsUPl0okNItTWnTtE2b7ffHObfc\nxiwnbXLPSfJ+Ph55NPd7z73nnZvbfO73e873e1JtbW2IiIhEkY47gIiI9B8qGiIiEpmKhoiIRKai\nISIikaloiIhIZCoaIiISWX7cAUSiMrMU8GPgJXf/ZtiWB3wLOI3g/XyTu/8wvG8ycCcwHGgAPuPu\n3sHzdrqdmV0AfDl87j8CX3T3ZjMrAX4EzCT48PUVd3+ok9zTgP8EJgFtwBbgKnd/qpuf93NApbv/\nT7RXCMzsLuAUoDaruQ34IPBfhK+dmb0AnOju9VGfWwTU05B+IvzD+yfgHII/ghmfAyYC04G5wKVm\nNje872fA9919OnA1cH8nT9/hdmZ2GHANcAJgQCVwWfiYa4B6dz8UOBX4gZmN7SC3ERSb29x9hrvP\nBK4Dfh/+TJ1y9x/2pGCE2oBvufusrK/Z7r4uvK8tfO5ZKhiyL9TTkP7iEuAO4E0gldV+JvBDd28F\ntpjZL4FPmdlawNz9lwDu/gczu9XMZrn7C5kHh3/oO9wOOAN4yN3rwm1/CNwC3Bju9+PhY2rM7FHg\no8C32+X+d+BOd38s0+Duj5vZuUBj+LxnAl8H8oB64HJ3X2Rm1wAj3P1fzewNgl7W+4CDgF+5+1c6\nea1SnbTvYWatQBXwIeCTQCswDlhL0NNaZ2ZnAVeF97UA/9vdF3b33DKwqach/YK7/6u7/6yDu6qB\nmqzbawj++GX+ANLuvva9gepOtss8x5qs9rfDtq72294c4O+Godx9vruvNrOpwK3AWe4+g6B4PGRm\nZWT1DMJ/h7r7POA9wL+a2cEd7C8FXGZmL2R9XdDBdpnnBDgW+Newp7WYoDAC3AB83t3nAv8BnNjJ\n88ggop6G9HftP/ikCD4Vd/aBqKWbx2dv19F9mcd3dV+21i72AfBe4I/u/gaAuz9hZhsJik17D4Xb\nrA23GU7Q88qWGZ76Vhf7bO+P7r48/P5HQKYn9kvgQTN7GHiMoIclg5x6GtLfvQWMybo9lqAH8BYw\nut22Y9m750AX22We48AO2jva7zj27nlk/I3gk/xezOzrZvYJgiLXfjgpDRR08Fw7s75v6+BxGd0O\nT7WTXezSmdvu/jXgOILex3nA0+HJCDKIqWhIf/cQcIGZ5ZlZJfAx4EF3fxtYZWYfAzCz9wMt7v5S\n9oPdfU0X2/0O+LCZVYV/LP8ZeDBrv/8cPmYc8H7g9x3kuxG4yMxOzTSY2QeALwIvAo8Dp5nZIeF9\n7yUoQH+j44LSF07OOoh/MfDb8PVcTTAk9kPgC8A0NDox6OkNIP1R9tlTtxKcPbUEKCQ4SylzsPZc\n4HYz+xrBp/RzAMLi8gRwuruv72w7d19qZtcR/GEvIPhDnjmb6WrgVjN7meAA9pfdfXX7oO6+ysz+\nAfiGmd0UbrsB+Ad3XxbmuQT4jZnlA9uBD7n7NjPLPqaxr69PlG3WAHeFheNV4LPu3mJmlwI/N7Mm\ngmG28929aR/yyACS0tLoMhiFZ0Jd7u7b484SJzM7D/iYu58edxbpHxLV0zCz54Gt4c3XCSYj3UXw\nKedl4Avurion+yX8RL9wsBeM0L72ZmSQSkxPw8yKgb+6++ystt8SzPBdYGa3AvPd/cFOn0RERPpU\nknoaM4ASM5tPkOsqYLa7Lwjvf4RgqQgVDRGRmCTp7KntwI3u/n6CMzjaT+RqACpynkpERPZIUk9j\nObASwN1XmFkdMCvr/jKChd461dbW1pZK6TRyEZEeivyHM0lF43zgCOALZjaGoEg8amYnuvtfgNMJ\nFqzrVCqVorZ2W98n7YGqqjJliiCJmSCZuZQpGmWKrqqqLPK2SSoadwA/NrPMMYzzgTqC8+cLgWXA\nr+MKJyIiCSoa7t4MfLqDu07KcRQREelEkg6Ei4hIwqloiIhIZCoaIiISmYqGiIhEpqIhIiKRqWiI\niEhkKhoiIhKZioaIiESmoiEiIpGpaIiISGQqGiIiEpmKhoiIRKaiISIikaloiIhIZCoaIiISmYqG\niIhEpqIhIiKRqWiIiEhkKhoiIhKZioaIiESWH3eArphZGvgBcASwC/isu6+KN5WIyOCV6KIBnAkU\nuvt7zOxo4JthW5daWltpam6luaWNpuZWmppb/v525vuWv7+vtQ2KC/MoKcqnpCifIeFXSXHm+zzy\n0uqkicjgk/SicRzwBwB3f8bMjuxq43Ou/D27m1ppbWvr82BFYVEZsldhyaOkuCD4N2wfPqyEbdt2\n9co+iwvzGFKc/3f7LchXAROR3Eh60SgH6rNut5hZ2t1bO9p43KhSAAry0hTkpynIS5Mf/luQnyY/\n056fJj8vRUF+Xtb3aQry8ijIT5FOpWjc3cKOXc3s3NXMjsbg3527mt9tC9u3Nuxifd2OnBSqzuTn\npff0gkqK8jrpHeXvKWRjt+0mr7WVyrJC9ZhEpEeSXjTqgbKs250WDIBvX3ZSnwfqSFtbW1BkGpvY\nvrOJ7Tub2d7YxI7GJnY3dRq3x/vYuTsoVME+mt79PtzX9p3NbK5vpKk52j7T6RQjKooZNayEqmFD\nGDWshFHDhlBVGdyuGjaE4sLcvUWqqsq636gbDTubKMxPU1iQ1wuJAr2Rq7clKdOuphbW1jYAqf1+\nroL8PKqGDdn/UKEkvU4ZSczUE0kvGk8BHwLuM7NjgKXdPaC2dlufh+rKkLwUQ0oLGFlaAARvkFxn\nampuYceulnd7R417945agDUbtlG3tZG6+kaWvV5HZ/2kspIChpcXM7K8mBEVxYwoLw5uVwS3hxbn\nk0rt/x+Lnr5OLa2trN+8kzUbG1hT20BN+O/m+l0MLc7nrBMncuKMMaTT+5ctjt9fd5KUqaW1lWt/\nvJg1tQ299pxnnnAIHz7ukP1+niS9ThlJzAQ9K2RJLxoPAKea2VPh7fPjDNNfFOTnUZGfR8XQwg7v\nb//GbW5p5Z1tu/YUkbr6xqzvd7F203beXN/xG72oII/h5UWMqHi3sAwvD4rLyIpiKkr3fwisfvtu\namobggKxsYGa2gbWbtpBc8veParK0kKmjx/GqrX13D3fWbBkLZ86bQoTx1Ts1/6lcwuXrGNNbQN2\n8DAOqCze7+d76fXN/PbJNzh8wggOObC8FxJKb0t00XD3NuDzcecY6PLz0lRVDqGqsuNhgba2Nup3\nNLE5LCabtjYG32cVl3V1Ozp8bDqVYlhZUdhLKdrTWxmRVWCKwqGkpuZW1tVt39NrCArEduq3797r\nOQvy04yrGsq4UaVUV5UyblQp46qGUlYSFMktDbu474mVPP3KBr7x0+eYN+NAzj5x4p77pXfs3NXM\ngwtfp6gwj6vOO4rmXU37/ZyvvrGZG3/5Inc+/CpfP2+uTvJIoEQXDUmGVCpFxdBCKoYWdvrpb+eu\n5naFZNdeRWVFzRaWd/L8ZSUFlJUUsmHzDlpa9x4oG1FezMxJIxk3aijVo8oYVzWUA4aVdDnsVFla\nxEUfms68GWO457HlLFiyjue8tteGrCTwyDNvUr+jiY+ccAjDyouprd3/ojFt/HBOnjWWJ154m98+\ntZqzT5zYC0mlN6loSK8YUpTP2KpSxlaVdnh/l0NgWxvZtmM34w8sy+o5BF8lxfv+FrWDhnH1eXN5\n/Pm3eXDh6xqy6kWb6xuZ/2wNlaWFnHbUQb363OecPJGXXq/jkb+9xewpVRqmShgVDcmJ7obA+uoA\nYX5emtPmVnPUtFEasupFDyx4nabmVs6aN3HP8GJvKS7M5/zTp2qYKqH0m5BBITNk9ZVPzGJs1VAW\nLFnHV//v33jihbdpbY1vjk1/9Ob6bfz15fVUjyrlPYeN7pN9ZIap3t60nd8+tbpP9iH7RkVDBpXM\nkNW575tMS2sbd893/s9PF/P62vruHyy0tbVx7xMraQM+9t5JfXp86JyTJzKyophH/vYWq9fp95MU\nKhoy6GSGrK7/52M4dvoBvLl+G9/46WLueuRVtu3Y3f0TDGJLV9Xx6pvvcMTEERw6fnif7iszTNXa\n1sadD78aedKq9C0VDRm0soesxmQNWf1ZQ1Ydamlt5d4nVpJKwTkn5easJg1TJY+Khgx67Yesfqoh\nqw4tXLKOdXU7mDdjTKdnyfUFDVMli4qGCJ0PWX3lewt55G9vsnbTdtpiXJQybtkT+c48fv+X+OgJ\nDVMli065FcmSPTHwgQWv8+obm1m2ejP3/XkVVZXFzJg0kpmTRjKlupL8vMHzmSt7Il9FaVHO969J\nf8mhoiHSATtoGP/+qTkUDinkiWffZMnKTby8ejN/XLyGPy5ew5CiPA47ZAQzJo3giIkjKR1S0Cc5\nmlta2bB5BzXhoozr63Zw8tyDOOygyj7ZX0f6ciJfT2jSXzKoaIh0oaK0iOMOP5DjDj+Q5pZW/K0t\nLFm5iRdXbmLRaxtZ9NpGUimYNLaCmZNGMmPSSA4cUbJPK/9u3b47WG8ra+2ttXXbaW7Ze1jshRWb\nuPCD0zju8AN768fsUl9O5OsJTfpLBhUNkYjy89JMP2Q40w8ZzsdPmczaTdt5ceUmlqyqY+XbW1mx\nZmukYazshRmzC0T9jr3XbirMT1OdWVIlXJwxPy/NLfcv5cf/7zVKivKZNaWqT3/mXEzk6wkNU8VP\nRUNkH6RSqT1rbX3w2PFs27GbpavqOh3GGls1lHV1O1izsYF1HVzpcWRFMbMmVzCuqjQoFKNKGVU5\npMPJc1dfdAxfu/Wv3PrQK1z+0RlMPXhYn/yMbW1t/OrxFbQBH+3jiXw9oWGqeKloiPSCspLCvYex\narawZEX2MFawXVFhHhPGlIc9h6F7FmccUhT9v+LUg4fzL2cdzs33LeGW+5dyxSdmMX507//hXLqq\njtfe2sIRE0cwvY8n8vWEhqnipaIh0svy89JMHz+c6ePfHcbatLWRMSOHMqKimHQvXOlw+iHD+ecP\nT+e2B1/mW79awpWfms2BI4b2QvpAHBP5ekLDVPFReRbpQ5lhrBmTRlJVOaRXCkbG3Kmj+MwHjIad\nTXzzVy9St7Wx1557QUwT+XpCk/7ioaIh0o+dOHMsZ584gc31u/jmr16kvhfWztq5q5mHFr5OUUHu\nJ/L1hCb9xUNFQ6SfO+OYg/nAUQexfvMOvn3vEnbuat6v58tM5Dv9mINimcjXE1qbKvcScUzDzFLA\nGthzRdC/uvtVZnYMcDPQDDzq7tfFlVEkqVKpFOecPJGGxiaeXLqO796/lMs+OoOC/J7PqcieyPf+\nGCfy9YTOpsqtpPQ0JgLPufvJ4ddVYfutwMfd/XjgaDObGV9EkeRKpVL80weM2VOqeO2tLdz20Cu0\ntPZ8uOY3CZnI1xMapsqtpBSNOcBYM3vczB42sylmVg4UuXumzzkfOCW+iCLJlpdO87kPH8q0g4fx\nwopN3PXIa383H6Qrb67fxtMJmsjXExqmyp2cFw0zu9DMXsr+AtYC17v7e4HrgXuAMiD7lIhtQEWu\n84r0JwX5efzLWYdzyIFlPPXSeu59fGWk1XmTOpGvJ3Q2VW6kkrDcs5kNAZrdvSm8vQY4FHja3aeH\nbV8C8t39m108Vfw/jEgCbG3YxZU/eJKaDQ18+vRpfPSUKV1uv2jZeq674xnmTB3FNRcdm6OUvW/J\nilq+dttfOWh0GTdfduI+HdcZpCJ/SkjEgXDg68Bm4EYzmwG85e71ZrbbzCYAq4HTgGu6e6La2m19\nGrSnqqrKlCmCJGaCZOaKmulLZx/Bf93zHHc/8iq0tnLyrLEdbtfS2srtD75EKgVnHjd+n37epLxO\nYyqL90z6+8Wjzulzq+OOtJekvE7tVVWVRd42Kcc0/huYZ2ZPADcB54XtFwM/A54Bnnf3RfHEE+l/\nhpcX82/nzqKspIB75jvPvrqhw+36w0S+nsgMU93/xEo21/fehEcJJKKn4e5bgQ910P4M0H/7yiIx\nGz28hMs/OpMbfvE8t/9uGSVF+Rw2YcSe+/vLRL6eKC7M5/RjDubu+c6i1zb2m1OH+4uk9DREpI8c\nPLqML559BOl0iu898BIr12zdc19/msjXE3OsinQ6xbOvbow7yoCjoiEyCNhBw/j8/zqM5uY2br5v\nCWs2Nuw9kW/uwPo0Xl5SyBGTRrJ6XT21W3bGHWdAUdEQGSRmTh7JhR+cxo5dzXzzVy/y0/n+7kS+\nwoF3ltEJM4MD/4teU2+jN6loiAwixx42mo+fMpmt24OLRvXHiXxRHXv4geSlU52eACD7RkVDZJA5\n9chqzjzhEIYU5fHx903ulxP5oigrKWT6IcN5a0MDGzbviDvOgKGiITIIffi4Q7jlSyf02aVik2Lu\n1FEA6m30IhUNkUEqLz3w//vPmlxFfl6KZ3Vco9cM/HeNiAxaJcX5HD5hBG/Xbuft2oa44wwIKhoi\nMqDNnZYZolJvozeoaIjIgDZz0kgK89M8+9rGSCv+StdUNERkQCsuzOeIiSPYsHkHNRs1RLW/VDRE\nZMA7atoBgIaoeoOKhogMeIdPHEFRQR7PvrpBQ1T7SUVDRAa8ooI8Zk0eyaatjbyxPnnXs+hPVDRE\nZFB49ywqTfTbHyoaIjIoHHbICIYU5bPotY20aohqn6loiMigUJCfZvbkkWyu38Xrb9fHHaffUtEQ\nkUFj7p6zqDREta9UNERk0Dh0/DCGFuezyDfS2qohqn2hoiEig0Z+Xpo5VsXWht2sWLMl7jj9Un4c\nOzWzjwD/6O6fDG8fA9wMNAOPuvt1YfvVwBlh+6XuviiOvCIycMyddgALlqzj2Vc3YgcN7KXh+0LO\nexpm9h3geiD7yi+3Ah939+OBo81sppnNBua5+9HAucD3c51VRAaeqQdVUlZSwGLfSEtra9xx+p04\nhqeeAj5PWDTMrBwocvfV4f3zgVOA44BHAdy9Bsg3sxG5jysiA0leOs2RNoptO5p47S0NUfVUnw1P\nmdmFwKXtms9z93vN7KSstnIg+/y3bcAEoBGoa9de0a5NRKTHjpo2iideeJtnl21g+vjhccfpV/qs\naLj7HcAdETatB8qybpcDW4Dd7drLwvYuVVWVdbdJzilTNEnMBMnMpUzRdJZp+IhShv9+GS+s2MRl\nw4ZSkJ+7QZckvk49EcuB8GzuXm9mu81sArAaOA24BmgBbjCzm4BqIO3um7t7vtraZK0rU1VVpkwR\nJDETJDOXMkXTXabZk6v443NrWLD4TY6YODIRmeLSk0IW1ym3beFXxsXAz4BngOfdfZG7Pw8sBJ4G\nfg1ckvOUIjJgHXWolkvfF7H0NNz9L8Bfsm4/AxzbwXbXAtfmMJqIDBITx5QzoryIF1bU0tTcQkF+\nXtyR+gVN7hORQSmVSjF36gHs3NXCy693O/ItoW57GmZWBHwZMOCLwJeA/3L33X2cTUSkT82dNoo/\nPPsWz762kVlTquKO0y9E6Wl8HygF5hDMzJ5EtLOiREQSbfzoMqoqi3lxxSZ2NbXEHadfiFI05rj7\nlcBud28APgPM7ttYIiJ9L5VKcdS0A9jV1MJLqzQFLIooRaPVzAqzbo8ENPdeRAaEuVN1Rb+eiFI0\nvgP8ERgdrhv1HMHigiIi/V71qFJGDy9h6ao6Gnc3xx0n8botGu7+U4J5FN8AVgH/EM72FhHp94Ih\nqlHsbm7lxZWb4o6TeN0WDTM7HLja3b9H0OP4vplN7fNkIiI5krmi3yJN9OtWlOGpHwF3Abj7MuC6\nsE1EZEAYO3IoY6uG8tLrdexo1BBVV6IUjRJ3fyRzw90fA4b2XSQRkdw7auoomlvaeGFFbdxREi1K\n0ag1s8+bWamZlZnZRYBOMxCRAeWoaVqLKoooReN84B+AdcCbwAeBz/ZlKBGRXDtgeAkHHVDKsjc2\n07CzKe44idXtMiLunikUIiID2tHTDuC+Dat4fnkt82aMiTtOIkVZe+oDwH8Cw3n3ut5t7j6hL4OJ\niOTa3KmjuO/Pq3j21Q0qGp2IsjT6d4HLgFfY+xoYIiIDysjKIUwYU86rb75D/fbdlA8t7P5Bg0yU\nolHr7r/v8yQiIglw1NRRvL62nud8IyfPHhd3nMSJUjQWmtm3gD8AjZlGd1/QZ6lERGJy5NRR/PLx\nlTz7qopGR6IUjaMJhqVmtWs/uffjiIjEa3h5MZPHVbC8ZgvvbNvFsLKiuCMlSpSzp07KQQ4RkcQ4\natoBrFizlcW+kVOPrI47TqJEWXtqvJk9ZmYrzWyMmT1hZofkIpyISByOtCpSKa1F1ZEow1M/BG4C\n/htYD/wM+Akwb193amYfAf7R3T+ZdftGoCbc5OvuvtDMrgbOILhi4KXuvmhf9ykiElVFaRFWXclr\nb21hc30jw8uL446UGFFmhI909/kA7t7q7j8CKvZ1h+E1Oa7n3TkfEFwJ8Ap3Pzn8Wmhms4F57n40\ncC7BZWdFRHJCy4p0LErR2GFme04hMLPjyTqLah88BXyevYvGHOACM1tgZjeZWR5wPJApVjVAvpmN\n2I/9iohENseqSKdSLHpNS+1lizI8dTnwMDDBzJYQzAw/p7sHmdmFwKXtms9z93vN7KR27Y8BD7j7\nG2Z2G8FFn8qA7Iv2biPo4ehCviLS58pKCpk2fhivrN7Mxi07GVU5JO5IiRClaIwC5gJTgDzgNXff\n1d2Dwqv7Rb3C353uvjX8/iHgbGAJQeHIKAO2dPdEVVVl3W2Sc8oUTRIzQTJzKVM0+5vpfXMP4pXV\nm3n5jXf42KmjEpEpblGKxo3ufijwcl8EMLMUsMTMjnP3t4FTgMXAs8ANZnYTUA2k3X1zd89XW7ut\nL2Lus6qqMmWKIImZIJm5lCma3sg0eUwZRYV5/OJRZ0h+mmMPGx17pr7Qk0IWpWisMrM7gWd491hG\nW3jt8H3VFn7h7m3hUNb9ZtZIUJxud/cWM1sIPE1w7OWS/difiEiPDS0u4LJzZnDLr5dy+++XsXX7\nbt5/VDWpVKr7Bw9QUYpGHcEf7WPate9z0XD3vwB/ybr9J+BPHWx3LXDtvu5HRGR/Tamu5N8/NZtv\n37uEe59YyZaGXXz0vZNID9LCEWVG+HkAZjY8yvCQiMhAM66qlKs+PYdv/upFHl1Uw9btu7ngjGkU\n5Ec5AXVgiTIjfKaZvUZw3KHazFaZ2ZwcZBMRSYzh5cVc+ak5TBpbwTPLNnDzfUvYuas57lg5F6VM\nfhc4C9gUzpe4GLi1T1OJiCRQ6ZACvnzuTGZOGsmrb77D//z8ebZu3x13rJyKUjRK3H1Z5oa7PwZo\n2UcRGZQKC/L4wlmHMW/GGN7a0MD1dy9mw+YdccfKmShFo87MZmZumNknAR3bEJFBKy+d5p8+YHz4\nuPHUbmnk+nueY/W6+rhj5USUonEJwbpP081sK8GlXy/u01QiIgmXSqU484QJfPr9RsPOJm74+Qu8\n/PrAX7Ci06JhZneH357o7scRLB9ykLsf6e6ek3QiIgl38qyxXHLm4bS0tvGdXy/l6ZfXxx2pT3V1\nyu08M7sI+JqZNWUazQyA/ZzcJyIyYMyxKr587sxBMQmwq+Gpi4FjgVKCS7u2/xIRkVBmEuCwsiLu\nfWIlv3p8Ja1tbXHH6nVd9TT+t7u/18z+w93/T84SiYj0U4NhEmBXReMQM/sGwXUuUgTXv2jL/Ovu\n1+UioIhIf5KZBHjLr5fyzLIN1G/fzb+cdThDiqKs2pR8XZW/s4HMEuipDr5ERKQDA3kSYKelz92f\nB543s0Xu/kgOM4mI9HuZSYB3z1/OgiVruf7uxfznxcdREHew/dRp0TCz2939IuAKM7ui3d1t7v7e\nvo0mItK/ZSYBVpYW8tun3uCK7y3kPz5zJMPLi+OOts+6GmS7Lfz3N8B6YCfBVfxWoeEpEZFIMpMA\n06kUDz65mue8llPnVscda591VTRqzGwBcBiwguAguBFcFOkTOcgmIjJgHHvYaB58cjXLa7b066LR\n1YHw7wFPAge4+9HufgxwAMG1u2/ORTgRkYFiZEUxIyuKWb5mC239eP5GV0XjCHf/qrvvmQ3u7ruB\nq4DZfZ5MRGQASaVSTJ8wkm07mljfj1fF7apo7Oyo0d1bgZa+iSMiMnBNnzAcAK/ZEnOSfTdwpimK\niCTc9AkjAFjej4tGVwfCp5vZ6k7uG7MvOzOzCuAeoAwoBC5397+Z2TEEx0magUczs83N7GrgjLD9\nUndftC/7FRFJguoDyigdUjBgi8aUPtjfZcBj7n6LmU0BfgHMITi99yPuvtrMHg4v+pQG5rn70WZW\nDdwPHNUHmUREciKVSjGlupLnl9eyaetORlYMiTtSj3U1I/yNPtjft3l3aZICYKeZlQGF7p7p1cwH\nTgm3ezTMUmNm+WY2wt0H/lVORGTAyhSN5TVbBlbR2F9mdiFwabvm89z9OTMbDdwNfAmoALKvk7gN\nmAA0AnXt2ivatYmI9CtWXQkExzXec9iBMafpuT4rGu5+B3BH+3YzO5xgWOrf3H2hmZUTHOPIKAe2\nALvbtZeF7V2qqirrbpOcU6ZokpgJkplLmaJJYqZZ0w9kSFE+q9bWJzJfd3K6Vq+ZHQrcB5zj7i8B\nuHu9me02swnAauA04BqC03pvMLObgGog7e6bu9tHbe22voq/T6qqypQpgiRmgmTmUqZokpppc10D\nE8eW8/Lrm1m5ehMVpUVxx+pR8cr1Au/XE5w1dUt42dgt7v4RgqsE/gzIA+ZnzpIys4UEy5akgUty\nnFVEpE9YdSUvv76Z5Wu2MnfqqLjj9EhOi4a7n9lJ+zMEl5Zt334tcG1f5xIRyaUpWcc1+lvR0OQ+\nEZEcGz+6nIL8dL+cr6GiISKSYwX5aSaOKWfNxga2NzZ1/4AEUdEQEYnB5HGVtAEr1myNO0qPqGiI\niMRgykHvHtfoT1Q0RERiMGlMBXnplIqGiIh0r6gwj4NHl/Hm+m3s2t1/rjahoiEiEpMp1ZW0tLax\nam3/Oa4J2NxXAAANuUlEQVShoiEiEpPs+Rr9hYqGiEhMJo+rIIWKhoiIRDC0uICxVaWsWltPU3Nr\n3HEiUdEQEYmRVVfS1NzKG+vru984AVQ0RERi1N/ma6hoiIjEaMq4CgCW1/SPM6hUNEREYlRRWsQB\nw0tYsWYLra1tccfploqGiEjMrLqCxt0t1GxsiDtKt1Q0RERiNnlccFzD+8FxDRUNEZGYWT+a5Kei\nISISsxEVxQwvL2J5zRba2pJ9XENFQ0QkZqlUiinVlTTsbGJd3Y6443RJRUNEJAH6yzpU+bncmZlV\nAPcAZUAhcLm7/83MPgLcCNSEm37d3Rea2dXAGUAzcKm7L8plXhGRXMk+rnHSrLExp+lcTosGcBnw\nmLvfYmZTgF8Ac8KvK9z9N5kNzWw2MM/djzazauB+4Kgc5xURyYnRw0soKynAw+MaqVQq7kgdyvXw\n1LeB/xt+XwDsDL+fA1xgZgvM7CYzywOOB+YDuHsNkG9mI3KcV0QkJ1KpFFPGVfLOtl3UbW2MO06n\n+qynYWYXApe2az7P3Z8zs9HA3cCXwvZHgQfc/Q0zuw24mGAIqy7rsduAinZtIiIDxpTqSp5bXovX\nbGFk5ZC443Soz4qGu98B3NG+3cwOJxiW+jd3Xxg23+numYVXHgLOBpYQFI6MMqDbI0RVVWXdbZJz\nyhRNEjNBMnMpUzT9LdPRR4zhF39awVu12zkzgdkh9wfCDwXuA85x95fCthSwxMyOc/e3gVOAxcCz\nwA1mdhNQDaTdfXN3+6it3dZn+fdFVVWZMkWQxEyQzFzKFE1/zFRakGZIUR5LV9TmNHtPimuuj2lc\nT3DW1C1m9oSZPeDubcCFwP1m9megCLjd3Z8HFgJPA78GLslxVhGRnEqnU0weV8mGd3aypWFX3HE6\nlNOehruf2Un7n4A/ddB+LXBtX+cSEUmKKdWVLF1Vx/KaLRw17YC44/wdTe4TEUmQKeHihSsSen0N\nFQ0RkQQZf2AZBfnpxK54q6IhIpIg+XlpJo4p5+3aBhp2NsUd5++oaIiIJMyU6kragJVrkjdEpaIh\nIpIwSb6+hoqGiEjCTBhbQV46lcjjGioaIiIJU1SQx/jRZby1YRuNu5vjjrMXFQ0RkQSaUl1JS2sb\nq9bWxx1lLyoaIiIJtOeiTG8la4hKRUNEJIEmj6sgRfIOhqtoiIgkUElxAdWjSlm1tp6m5ta44+yh\noiEiklBTqitpbmll9brkHNdQ0RARSajMcY0Va5IzRKWiISKSUJPDopGk+RoqGiIiCVUxtJDRw0tY\nuWYrLa3JOK6hoiEikmBTqitp3N1CzcaGuKMAKhoiIolmCZuvoaIhIpJgUxJ2XENFQ0QkwUZUFDOi\nvJgVa7bS1tYWdxwVDRGRpJtSXUHDzibW1u2IOwr5udyZmQ0Ffg5UAruBf3L3tWZ2DHAz0Aw86u7X\nhdtfDZwRtl/q7otymVdEJAmmVFfy9CsbWF6zhbEjh8aaJdc9jc8Ci9z9ROAe4Iqw/Tbg4+5+PHC0\nmc00s9nAPHc/GjgX+H6Os4qIJMKUBF2UKadFw92/A1wf3jwYeMfMyoBCd18dts8HTgGOAx4NH1cD\n5JvZiFzmFRFJgtHDSygvKWB5zZbYj2v02fCUmV0IXNqu+Tx3f87M/gQcBpwGVADZC6tsAyYAjUBd\nu/aKdm0iIgNeKpViSnUli72WTVsbqaocEluWPisa7n4HcEcn973PzAx4GJgFlGXdXQ5sITjmkd1e\nFrZ3qaqqrLtNck6ZokliJkhmLmWKZiBlmj1tNIu9lnVbGjl08qheThVdrg+EXwmscfe7ge1As7tv\nM7PdZjYBWE3Q+7gGaAFuMLObgGog7e6bu9tHbe22Psu/L6qqypQpgiRmgmTmUqZoBlqmMcOKAVi8\nbD1HjB/Wm7F6VMhyWjQIeh4/MbMLgDzg/LD9YuBnYdv8zFlSZrYQeJrg2MslOc4qIpIY46pKGVKU\nH/vB8JwWDXffCJzeQfszwLEdtF8LXJuDaCIiiZZOp5g8roKlq+p4Z9suhpUVxZMjlr2KiEiPWQKu\nr6GiISLSTyRhvoaKhohIP3Hw6DIKC9IqGiIi0r38vDQTx1SwpnY7DTubYsmgoiEi0o/Efd1wFQ0R\nkX4k7uMaKhoiIv3IhDHl5KVTLK/ZGsv+cz25T0RE9kNRQR7zZo6hqbk1lv2raIiI9DOfPs1i27eG\np0REJDIVDRERiUxFQ0REIlPREBGRyFQ0REQkMhUNERGJTEVDREQiU9EQEZHIVDRERCQyFQ0REYlM\nRUNERCLL6dpTZjYU+DlQCewG/snd15rZR4AbgZpw06+7+0Izuxo4A2gGLnX3RbnMKyIie8t1T+Oz\nwCJ3PxG4B7gibJ8DXOHuJ4dfC81sNjDP3Y8GzgW+n+OsIiLSTk6Lhrt/B7g+vHkw8E74/WzgAjNb\nYGY3mVkecDwwP3xcDZBvZiNymVdERPbWZ8NTZnYhcGm75vPc/Tkz+xNwGHBa2P4Y8IC7v2FmtwEX\nA2VAXdZjtwEV7dpERCSHUm1tbbHs2MwMeNjdJ5lZpbtvCdtPB84GlgDF7n5j2P48cIq7b44lsIiI\n5HZ4ysyuNLNPhze3ExzgBnjRzMaG358CLAaeAt5vZikzOwhIq2CIiMQr11fuuwP4iZldAOQB54ft\nFwL3m1kj8DJwu7u3mNlC4GmC4nZJjrOKiEg7sQ1PiYhI/6PJfSIiEpmKhoiIRKaiISIikeX6QHiv\nM7M08APgCGAX8Fl3XxVvKjCzAuBOgkmMRcB/uvvv4k0VMLNRwHPA+9x9eQLyXAl8CCgAvufuP4k5\nTxr4ETAFaAUucnePMc/RwH+7+8lmNgm4K8z1MvAFd8/5gcl2mWYCtwAtBP8HP+PuG+PMlNX2CeBf\n3P09uc7TUa7w/97tBEsppQheqzdizjSV4P3eBiwn+Bva6XtqIPQ0zgQKwzfFvwPfjDlPxieBWnef\nB3wA+F7MeYA9xeyHBKc8x87MTgKODX9/JwETYg0UOA0Y6u7HA9cB34griJldQfBHpihs+hbw1fB9\nlQL+VwIy3Uzwh/lk4DfAVxKQCTObBVyQ6yzZOsh1A3B3uJTS1wkmOced6RqCD7UnhG0f7OrxA6Fo\nHAf8AcDdnwGOjDfOHvcRvCkgeJ2bu9g2l24EbgXWxR0kdBrwkpk9CPwO+G3MeQB2AhVmliJYhWB3\njFlWAmcRFAiA2e6+IPz+EYJ5TXFnOtfdl4bfFxC8frFmCpcc+gbBqhSpLh6X01zAe4BqM3uM4IPl\n4wnItBMYEb7fy+jm/T4QikY5UJ91uyUcXoiVu2939wYzKyMoIFfFncnMziPo/TwaNsX5nymjimDB\nyn8kWD7mZ/HGAYKJpcXAawS9su/GFcTdf8PeHziyf2cNBEUtp9pncvf1AGb2HuALwLfjzBT+/78D\nuJzgNYpNB7+/8cBmdz8VeIsYemUdZPou8B1gGTAK+EtXj4/9j2svqCeojhlpd2+NK0w2M6sm+CTx\nU3f/Zdx5CCZTnmpmTwAzCSZaHhBzpk3Ao+7eHB5faTSzkTFnugJ4yt2Nd1+nwpgzZWS/t8uALXEF\nyWZmHyPowZ7h7nGvDzcHmBTm+QVwqJl9K95Ie9Txbm/6dyRjZOQe4AR3nwbcTTdD/AOhaDxFcM0N\nzOwYYGnXm+dG+Mf4UYIl3++KOQ4A7n6iu58Ujj2/SHAQbkPMsZ4kOOaDmY0BhhL/opRDebf3+g7B\nkEtefHH28oKZnRh+fzqwoKuNc8HMPkXQwzgpjoO67bn7Inc/LHyfnwssc/fL484VepJ3jxmcSHAy\nQ9xKCBaEhWDYurKrjfv92VPAAwSfnp8Kb5/f1cY59FWCoYOvm1nm2Mbp7t4YY6bEcfeHzWyemT1L\nuFxMHGcDtXMj8ONwGZsC4Ep3j2OcPlvmNfk34Paw57MM+HV8kWgLh4K+A7wJ/CZYh5S/uPs1cWVq\ndzvVQVscsn9/PzKzzxP0Ej8RX6Q9mT4L/DpcxmkXcFFXD9IyIiIiEtlAGJ4SEZEcUdEQEZHIVDRE\nRCQyFQ0REYlMRUNERCJT0RARkcgGwjwNkZwzs1LgfwjWztpOMBnwGnd/3Mz+DFzu7s/34PmeJFhH\n6r3Ace4e+7IzIh1RT0Okh8KF3X4HNALT3H0m8EXg7nC2dhs9WNfLzEoAwomfxxPMGhZJJE3uE+mh\ncDn3O9x9Yrv2zxMsvJgGaoDp4V2XuvtCM3sfQe+kjWB5ko8DNxEsJ1EMbCC4hocD73f32r7/aUR6\nRj0NkZ6bCyzqoH0h7y5A9467zyFY1ubu8DomVwGfc/e5BD2VWe5+PkHh+Jq7zwLc3WerYEhSqWiI\n9FwrwZpU7WVWwm0juBIa4XUm6oCpBKubPmhm3wVedfc/htsfRnBNkQNJznVORDqkoiHSc88AR5pZ\n+xNJjiXogaQILn2akQKa3P1mgqsTrgRuMLOvmtmdwKcIisxCYI6ZPW9mVX38M4jsExUNkR5y9yeB\nV4CbM4XDzOYQDD9dF272ybD9SILrXqw0s78CZe7+HYJLpM4CPkewdPcM4CcEw1canpLEUtEQ2Tdn\nESwj/bKZvUJQBD6ZdSnW4Wb2AvAD4BPu3gx8DbjLzBYTLEd9NTAbyJyaeyzwdA5/BpEe09lTIiIS\nmXoaIiISmYqGiIhEpqIhIiKRqWiIiEhkKhoiIhKZioaIiESmoiEiIpGpaIiISGT/Hzev7Vc53qWQ\nAAAAAElFTkSuQmCC\n", "text": [ - "" + "" ] - }, + } + ], + "prompt_number": 18 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "line_plot(ratio_head_tail, \"Obs#\", \"Heads Ratio\", \"100,000 Coin Flips\")" + ], + "language": "python", + "metadata": {}, + "outputs": [ { "metadata": {}, "output_type": "display_data", - "png": "iVBORw0KGgoAAAANSUhEUgAAAYUAAAEZCAYAAAB4hzlwAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRES6KSmIiEi3/w/H7VbpexskrgAAAABJRU5ErkJggg==\n", + "png": "iVBORw0KGgoAAAANSUhEUgAAAYUAAAEZCAYAAAB4hzlwAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nrkJggg==\n", "text": [ - "" + "" ] - }, + } + ], + "prompt_number": 19 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "log_line_plot(diff_head_tail, \"Difference - Log Scale - 100,000 Coin Flips\")" + ], + "language": "python", + "metadata": {}, + "outputs": [ { "metadata": {}, "output_type": "display_data", - "png": "iVBORw0KGgoAAAANSUhEUgAAAYIAAAEPCAYAAABP1MOPAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQmCC\n", + "png": "iVBORw0KGgoAAAANSUhEUgAAAYIAAAEPCAYAAABP1MOPAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nDgIzs5JzEJiZlZyDwMys5BwEZmYl9/8BMJWOhdOrekYAAAAASUVORK5CYII=\n", "text": [ - "" + "" ] - }, + } + ], + "prompt_number": 20 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "log_line_plot(ratio_head_tail, \" Heads Ratio - Log Scale - 100,000 Coin Flips\")" + ], + "language": "python", + "metadata": {}, + "outputs": [ { "metadata": {}, "output_type": "display_data", - "png": "iVBORw0KGgoAAAANSUhEUgAAAXkAAAEPCAYAAACneLThAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAGBZJREFUeJzt3X+U3XV95/HnnTCJIQyy1bszFG3XY9t3/VHCaFwRNvaA\nYKtrWsqkqxxtI4q4ddUVllbWWuq2a6UqavWIQFCIu93jHqJo1YqV4u4Z08qpGoIe3XcL2lrUQOBU\ngxLJJPnuH9/vxZubmbkzk8zM5TPPxzk5me+P+X4/M/O5r/u+n+/nfm+rqiokSWUaWu4GSJIWjyEv\nSQUz5CWpYIa8JBXMkJekghnyklSw45a7ATp6EfFvgK9m5sgiHf9k4D3AU4AK2Af8SWb+xQKP93Jg\nIjM3HbNG1sdtATdQ/y6uatatAt4FPJ+6v78zM69ttv088CHgp4AfAr+dmTnNcWfcLyJeAVzWHPtW\n4PWZeSAijgeuB06jLqbemJmfmKHdTwH+O/Bz1L/f7wO/n5k7+vy8rwZOysw/ndtvCCLiRuAcYE/X\n6gr498DbaH53EbET+OXM3DvXY2swWclrLq4H/iYzT83M9cCFwI0REcvcrkc0QfnXwG9Sh1bHq4En\nA08DngW8ISKe1Wz7c+D9mfk04A+Bj85w+Gn3i4inA28BNgIBnARc0nzPW4C9mflU4Fzg6og4ZZp2\nB/WTwzWZuT4zTwP+CPhU8zPNKDOvnU/ANyrgXZk53vXvGZn5vWZb1Rx73IAvg5V84SLiscD7gfXU\nD+DPAG/KzIMR8ULgSuAgcAd1hXdmZn675zBjwPERMZSZhzLzGxGxibriJCKeDbwXOB7YD1yWmZ9v\nqtyLgdXUVfCVmXnNNO37M+DpwDB1UP9uZh6c54/6GuCDwD8Bra715wHXZuYh4PsR8RHgZRHxXSAy\n8yMAmXlLRHwgIsYzc2dX+06ZaT/ghcAnMvOBZt9rm9/DO5rzXtB8zz9HxF8B/wF4d0+7Lwc+lJmf\n66zIzNsi4iXAj5vjngdcAawC9gKXZubfRcRbgMdl5usi4h+pX8U8D/gZ4H9n5htn+F21Zlj/iIg4\nBLSBTcBLgUPAE4DvUr+S+V5EnA/8frPtIPXfbbLfsbW0rOTL915gT2b+ErCBOuwvi4jHAR8GXpqZ\n48DngSMqzcZlwGuBeyPi4xFxGfCtzLw3IoaBjwNvac7xKuA9ETECXAS8IDOfAbwEePs0x3438KXM\n3AA8gzpYLp3vD5mZr8vMP59m0xOBf+5avoc6rDqBRc+23t/BE2fYr3OMe7rWf6dZN9t5ez0TOGJY\nJjM/m5nfiohfBD4AnN+8iroC+ETz+32k8m7+X5eZzwXOAF4XET87zflawCURsbPr3yum2a9zTIDn\nAK9rXsl8ibpPQf33/J3MfBbwB8Avz3AcLSMr+fL9KvWDnszcHxHXAG8AEvh6Zn612fbhiHjvdAdo\nqvInUj/Yn0td3V0REWdTV3EHMvMzzb5foX4iISJeBGyKiJ+jHpteN83hXwQ8KyJe2Sw/pjnmsdJb\nyLSoq86ZCpzeVxCz7Tfdts73z7at26FZzgFwNnBrZv4jPPK3uI/6yaHXJ5p9vtvs81PUr2y6dYZr\n3jXLOXvdmpl/33x9PdB5pfMR4OMR8Wngc9SvYDRgDPnyDXH4y/NV1MMiBzjyZfsR4RoRbeCPgdc0\nFwJ3AG+LiK3AFuA6Dh8DJyKeSj2s8LfANcAksJ060Ds63zMEbO66kHlS7/Ga9Tu7Fl/ZPJnMxbeB\nn+5aPoW6wv429TAUPdvu6Vk3036dY5w8zfru897XLD8BmK7NX6R+8vzL7pURcQVwF/XfqPfvNET9\nN+y1r+vraprv6+g7XNOj+8lpqLOcmW+OiA9SX9R+OXB5RDwzM70h1gBxuKZ8nwX+E0BErKEeI/8r\n6rD+hYj4pWbbBPWFw94H6L9QV5OXRMRQs+/x1OO+X6Z+RVBFxDnNtmdQD/08B7gvM9/ajDdvarZ3\n+lwnaD4LXBoRrYhYDdxMPb5+mJ4LhXMNeKir21dExKrmCeTFwMcz8zvA3RHx4qZdvwIc7Lyy6Trv\nPbPs90ng1yKi3czsuZh66Kpz3oub73kC8CvAp6Zp3zuAV0XEuZ0VEfGrwOupr5PcBjw/Ip7UbDub\n+gnji0z/BLAYzuq6aPwfgb9ofp/foh4iupa6jz0FC8eB4x+kHOsi4sGedadTh8X7IuKr1BdAPwO8\ntZnmdwHw4eYi25eoq/uHug/Q7Pd86vHXb0bED6kr/hsy80aA5gLceyLiHdQXXn+D+iX9yyIiqavZ\nTwDf4yfTBDtPJq+nvvB6J3V1+jmmH7ufj+4nqg9Qz67Z1fz813RdHHwJsDUi3kxdBf9m8/OcRP1E\n9YLM3D3Tfpl5Z0T8EXUQD1MHb2e2yx8CH4iIr1G/erosM7/V29DMvLsZ1nprRLyz2fde4EWZ+fWm\nPa8BPhYRxwE/AjZl5oMR0f17XOjvZy773EM9m+oU4BvARc2F+zcA/ysipqj7xIWZObWA9mgRtbzV\n8MrUXLh7M/UF031NBf7JzJzp4uuK0syUuTQzf7TcbVlOzXsaXpyZL1jutmhh5lTJN1PkrszMs3rW\nb6K+qn6AehrY9ce+iVoMTSW4H/i7phKbop7it+I1FfPkSg/4xkJfLWhA9K3kI+L3gJcBP8zMM7rW\nDwNfp56W9xD1GO+LMvO+aQ8kSVpyc7nwehdwPkde4HkKcFdm/qAZh/sC9fQ6SdKA6Bvymfkx6uGY\nXicCP+hafhB47DFqlyTpGDia2TU/ALpviDVCPd1uRlVVVa3WUsz4kqSiLDg4jybk/x/w8xHxr6in\ndT2XPu94a7Va7NnTO8tPGgzt9oj9UwOp3V74DWbnE/IVQDO3+oTM3BoRl1K/mWUI+GBzJztJ0oBY\n6nnylZWSBpWVvAZVuz2y4OEab2sgSQUz5CWpYIa8JBXMkJekghnyklQwQ16SCmbIS1LBDHlJKpgh\nL0kFM+QlqWCGvCQVzJCXpIIZ8pJUMENekgpmyEtSwQx5SSqYIS9JBTPkJalghrwkFcyQl6SCGfKS\nVDBDXpIKZshLUsEMeUkqmCEvSQUz5CWpYIa8JBXMkJekghnyklSw42bbGBFDwNXAqcDDwEWZeXfX\n9guA3wV+DNyUme9exLZKkuapXyV/HrA6M88ALgeu6myIiMcBfwKcDZwJ/HpEjC9WQyVJ89cv5M8E\nbgHIzNuBDV3bngzsyszvZ2YFfBF47qK0UpK0IP1C/kRgb9fywWYIB+AfgKdFxL+OiOOB5wHHL0Ib\nJUkLNOuYPHXAj3QtD2XmIYDM/JeIuAT4KPAA8BXg/n4nbLdH+u0iLRv7p0rTL+R3AJuAmyLidODO\nzoaIOA7YkJkbI2IN8H+BP+13wj17HjyK5kqLp90esX9qIB1N8dEv5G8Gzo2IHc3yhc2MmhMyc2tE\nHIyILwMHgWsy85sLbokk6ZhrVVW1lOerrJQ0qKzkNaja7ZHWQr/XN0NJUsEMeUkqmCEvSQUz5CWp\nYIa8JBXMkJekghnyklQwQ16SCmbIS1LBDHlJKpghL0kFM+QlqWCGvCQVzJCXpIIZ8pJUMENekgpm\nyEtSwQx5SSqYIS9JBTPkJalghrwkFcyQl6SCGfKSVDBDXpIKZshLUsEMeUkqmCEvSQUz5CWpYIa8\nJBXsuNk2RsQQcDVwKvAwcFFm3t21/TeANwEV8KHMvGYR2ypJmqd+lfx5wOrMPAO4HLiqZ/u7gHOB\nM4H/EhGPPfZNlCQtVL+QPxO4BSAzbwc29GyfAk4C1gIt6opekjQg+oX8icDeruWDzRBOx1XAl4Gv\nAZ/MzO59JUnLbNYxeeqAH+laHsrMQwAR8TPAa4GfBR4C/mdEbM7M7bMdsN0emW2ztKzsnypNv5Df\nAWwCboqI04E7u7Y9BjgIPJyZhyLiPuqhm1nt2fPgQtsqLap2e8T+qYF0NMVHv5C/GTg3InY0yxdG\nxAXACZm5NSK2AX8TET8G7gJuXHBLJEnHXKuqlvRaaWWlpEFlJa9B1W6PtBb6vb4ZSpIKZshLUsEM\neUkqmCEvSQUz5CWpYIa8JBXMkJekghnyklQwQ16SCmbIS1LBDHlJKpghvwBVVbHE9/yRpAUx5Oeh\nqiomJoYZHV3H6Og6JiaGDXtJA82Qn4fNm1czObkGWAWsYnJyDevXr2XnToNe0mAy5OeoqiomJ4ep\nP8q2o8Xu3cNs2bLWil7SQDLkJalghvwctVotNm6cAror9oqxsSm2bdtHq7Xge/pL0qIx5Odh+/b9\njI0deGR5bOwAu3btY3zcgJc0mAz5eWi1Wmzbto+xsSkreEmPCv0+yFs9xsdb7Nq1D8CAlzTwDPkF\nMNwlPVo4XCNJBTPkJalghrwkFcyQl6SCGfKSVDBDXpIKZshLUsEMeUkq2KxvhoqIIeBq4FTgYeCi\nzLy72TYKfKRr99OAN2bmdYvUVknSPPV7x+t5wOrMPCMing1c1awjM+8FzgKIiOcAfwxsXcS2SpLm\nqd9wzZnALQCZeTuwoXeHiGgB7wV+JzP95AxJGiD9Qv5EYG/X8sFmCKfbJuBrmfkPx7RlkqSj1m+4\nZi8w0rU8lJmHevZ5KfCeuZ6w3R7pv5O0TOyfKk2/kN9BXanfFBGnA3dOs8+GzPzbuZ5wz54H59E8\naem02yP2Tw2koyk++oX8zcC5EbGjWb4wIi4ATsjMrRHRBn6w4LNLkhZVq6qW9FppZaWkQWUlr0HV\nbo8s+EMsfDOUJBXMkJekghnyklQwQ16SCmbIS1LBDHlJKpghL0kFM+QlqWCGvCQVzJCXpIIZ8pJU\nMENekgpmyEtSwQx5SSqYIS9JBTPkJalghrwkFcyQl6SCGfKSVDBDXpIKZsg/SlRVxRJ/6LqkAhjy\nA66qKiYmhhkdXcfo6DomJoYNe0lzZsgPuM2bVzM5uQZYBaxicnIN69evZedOg15Sf4b8AKuqisnJ\nYaDVtbbF7t3DbNmy1opeUl+GvCQVzJAfYK1Wi40bp4Duir1ibGyKbdv20Wq1ZvpWSQIM+YG3fft+\nxsYOPLI8NnaAXbv2MT5uwEvqz5AfcK1Wi23b9jE2NmUFL2nejlvuBqi/8fEWu3btAzDgJc3LrCEf\nEUPA1cCpwMPARZl5d9f2ZwFXUU//+A7w25m5f/Gau3IZ7pIWot9wzXnA6sw8A7icOtABiIgWcB3w\n8szcCPw18KTFaqgkaf76hfyZwC0AmXk7sKFr2y8ADwCXRsT/AU7KzFyMRkqSFqZfyJ8I7O1aPtgM\n4QA8HjgDeB9wDvC8iDjr2DdRkrRQ/S687gVGupaHMvNQ8/UDwF2d6j0ibqGu9D8/2wHb7ZHZNkvL\nyv6p0vQL+R3AJuCmiDgduLNr2zeBEyLiyc3F2I3A9f1OuGfPgwttq7So2u0R+6cG0tEUH63Z7n/S\nXFztzK4BuBB4JnBCZm5thmeupJ5dsyMzL+lzvsoHkQaVIa9B1W6PLHh63awhvwgMeQ0sQ16D6mhC\n3ne8SlLBDHlJKpghL0kFM+QlqWCGvCQVzJCXpIIZ8itYVVV+TqxUOEN+BaqqiomJYUZH1zE6uo6J\niWHDXiqUIb8Cbd68msnJNcAqYBWTk2tYv34tO3ca9FJpDPkVpqoqJieHqe9E0dFi9+5htmxZa0Uv\nFcaQl6SCGfIrTKvVYuPGKaC7Yq/8kHCpUIb8CrR9+37Gxg48sjw2doBdu/YxPm7AS6Ux5FegVqvF\ntm37GBubsoKXCtfvQ0NUqPHxFrt27QMw4KWCGfIrmOEulc/hGkkqmCEvSQUz5CWpYIa8JBXMkJek\nghnyklQwQ16SCmbIS1LBDHlJKpghL0kFM+QlqWCGvCQVzJCXpIIZ8pJUsFlvNRwRQ8DVwKnAw8BF\nmXl31/ZLgFcCe5pVr87Mv5/peH5ItAZVVVUD0T87bejcBrp3WZqvfpX8ecDqzDwDuBy4qmf7M4Df\nysyzmn8zBjzA0FDFxMTwQDyYJKhDdGJimNHRdYvaP6d7Eule192O0dF1nH/+cYct+7jRQvUL+TOB\nWwAy83ZgQ8/2ZwJviojJiLh8LqebnFzD+vVr2bnTDqvlt3nzaiYn1wCrOFb9c7bwnpgY5tChQ0es\nO7wdq/jCF447bNnHjRaqNVt1EBFbgY9m5i3N8j8BT8rMQ83yHwDvBx4EbgY+kJmfnvFkLR452djY\nFLt2+dmiWj5VVTE6uo46SA83l/453dBKHdbDAGzcOAXQhHXnOBXDw1NMTQ13rTsEVF3tqJp/R9Zg\nPm5WpnZ7ZMF/8H4f/7cXGOlaHuoEfOPPMnMvQER8GhgHZgz5bkNDQ7TbI3ZWLZs6pKcvcrr753Rh\nfs45B7nttjqEzz77ELfeuopzzjnI5OQqOuE9Odlqjn94H5+aOq5n3dwfAz5uNF/9Qn4HsAm4KSJO\nB+7sbIiIxwJ3RsRTgYeAs4EP9j9lxdjYAW64YR/3329H1fLauHH4iEq70z/37OGIynz79v1dQyv1\n99x2W4uTT57i3ntXsbDwbgEHm/87/w50fX14u3zcrDzt9kj/nWbQb7imxU9m1wBcSD0Of0Jmbo2I\nC4BLqGfe3JqZ/23Wk7WofLmp5TDTLJWqqli/fi27d9dB3t0/JyaOfAIYHe2Eee8QT0U97NK7/kCz\nbrbhmvq4Bw60eOCBuh2jo/tptVrTtksrz9EM18wa8sfaKaccrG644UeMj9tRtTSmGyffvn3/YWG5\nc2fFli1rGRoaotM/Zx6vnynMYXh4f9/wHhub4o47HuK0044/IsDvuAO2bFkLwLZt+4DDl33crFyP\nmpCvqqq6//4fLtn5pOmq8bGxA0eEZlVVtNsjdPrnbBdlpwvzsbED3HjjQ7z85f3De3y89cgTS/e6\nznnBefI63KMm5IFqz54Hl/J8WsHmO3um3R6hu3/O9AQxU5i3WnMP75nWSdNZzNk10qPCYgTm9u37\nWb9+VVeYH2jCfIht2/axZUu937ZtP3myGB9vsWvXviPaMl27DHctBe9dowUbhFsBTPdmo+7Ar+eq\nd7exYmxs6rBgnkmr1WLbtn2MjU0d8T2dMN+168ix8larZYBrYDhco3mby8XMpdJvzH222TO9eodr\nOhxW0XI7muEaK3nNW+9b8JfrLfdVVTVPNIfPTd+9e5gtW9ZSVdWs1fhcWZnr0cxKXvNytLcCWK62\nzKUan6mSl5ablbxWpPmMuVuNa6Uy5DUvR3sx81jbvn0/Y2MHHlnuzIDxjUNSzZDXvC1lsPabwXMs\nxtylkhnymrelCNbZpkb2mm06o7TSeeFVC7aYUwvnejuCY8kLrxpUXnjVslisi5lzmRopaW4MeUkq\nmCGvgTNoM3ikRzNDXktuLve8cWqkdGwY8loy85kx49RI6dhwdo2WzEJmzCzlzcGcXaNB5ewaDbyF\nzpjxdgTS0THkJalghryWhDNmpOVhyGvJOGNGWnqGvJaMM2akpecHeWtJzfRB15IWhyGvJWe4S0vH\n4RpJKpghL0kFM+QlqWCGvCQVbNYLrxExBFwNnAo8DFyUmXdPs991wAOZ+V8XpZWSpAXpV8mfB6zO\nzDOAy4GreneIiFcDT+fwtzJKkgZAv5A/E7gFIDNvBzZ0b4yIM4B/C1zL4XeekiQNgH4hfyKwt2v5\nYDOEQ0ScDFwBvBYDXpIGUr83Q+0FRrqWhzLzUPP1ZuDxwF8CY8DxEfGNzPzwLMdrtdsjs2yWlpf9\nU6XpF/I7gE3ATRFxOnBnZ0Nmvg94H0BEbAF+sU/AS5KWWL+Qvxk4NyJ2NMsXRsQFwAmZubVnXy+8\nStKAWeqP/5MkLSHfDCVJBTPkJalghrwkFWxZ7yffvJnq4mbxP2fmD5azPVKviDgbuCAzX7XcbZE6\nIuJ5wIuB44G3Z+adM+273JX8q6hD/oPUDZYGRkQ8GTgNeMxyt0XqsTYzLwbeCTx/th2XO+RXZeZ+\n4HvAycvcFukwmXl3Zr5rudsh9crMT0XEOuD1wI2z7btowzUR8Wzgysw8a5a7WT4UEauBnwZ2L1Zb\npF5z7J/SkptL34yIxwNvB67IzPtnO96iVPIR8XvAVmBNs2qmu1leR31zs1cB/2Mx2iL1mkf/lJbU\nPPrmVcAo8LaImJjtmItVyd8FnM9Pgvvf0XU3y4jY0Hz9FeDCRWqDNJM59c+OzPytpW2eVrC5ZueW\nuR5wUSr5zPwYcKBr1Qgz3M1SWmr2Tw2qxeibS9WRZ7ubpbTc7J8aVEfdN5cq5HcALwTovZulNADs\nnxpUR903F/vNUJ27nx1xN8tFPq80F/ZPDapj1je9C6UkFcyLS5JUMENekgpmyEtSwQx5SSqYIS9J\nBTPkJalghrwkFcyQl6SCGfKSVDBDXpIK9v8BLf0IB8jnM6cAAAAASUVORK5CYII=\n", + "png": "iVBORw0KGgoAAAANSUhEUgAAAXkAAAEPCAYAAACneLThAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nM+QlqWD/HxnVG/4m/JYgAAAAAElFTkSuQmCC\n", "text": [ - "" + "" ] - }, + } + ], + "prompt_number": 21 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "trials = run_trial(20, 100000)\n", + "trial_ratios = trial_ratio(trials)\n", + "ratio_means = means(trial_ratios)\n", + "ratio_std = std_dev(trial_ratios)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 22 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "log_line_plot(ratio_means, \"Means\")" + ], + "language": "python", + "metadata": {}, + "outputs": [ { "metadata": {}, "output_type": "display_data", - "png": "iVBORw0KGgoAAAANSUhEUgAAAX8AAAEPCAYAAACqZsSmAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRK5CYII=\n", + "png": "iVBORw0KGgoAAAANSUhEUgAAAX8AAAEPCAYAAACqZsSmAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nyPCXpBoy/CWphv4/lrq8VcAxnYkAAAAASUVORK5CYII=\n", "text": [ - "" + "" ] - }, + } + ], + "prompt_number": 23 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "log_line_plot(ratio_std, \"Standard Deviations\", y=True)" + ], + "language": "python", + "metadata": {}, + "outputs": [ { "metadata": {}, "output_type": "display_data", - "png": "iVBORw0KGgoAAAANSUhEUgAAAX4AAAEPCAYAAABFpK+YAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAEPBJREFUeJzt3X+QJGddx/H37OXuvJxrSmSzG0BECXxVMMlhQiAQBAIo\nSDTFURUwkCNIQERDSUEAgahQKlJBCi1+BTC3QVDJEVRAEhDL8iqWKHK5w0K/kJRFicUVF5H8IDH3\nq/2je5LJ5vZ2Zndmp2ee96vqqmb6eruf7u359NPP88yznaqqkCSVY2bcBZAkrS+DX5IKY/BLUmEM\nfkkqjMEvSYUx+CWpMCeMuwCaHhHxBOD3gB+irlT8F/DazPxq8/+fA16Qmd8Z0v4+DVybmYtr2MZr\ngcdk5iVLlj8V+CzwH82iDcCdwFsz8/o17G8P8DOZeftx1vl54PGZ+VsRcT7wjMx89Wr3KS1l8Gso\nImIz8GnqkLqpWXYR8NmIeERmVsAzgM4Qd1s1/0bl5szc1n0TEacBN0TEL2bmP69mg73bO46zgAc1\n638K+NRq9iUtx+DXsJwInATMdhdk5kcj4jbghIi4qln8d02N9gzgjcAm4GRgMTOvaGravwvcAjwW\n2Ay8KjP/PiIeAiwCp1A/TTy4u6+IeCnw8mZ7DwLenpnvj4iXAL/clO+7wM8Cf0x9EzoA7Adu6+cA\nM3NfRPwR8BvACyPiJODdTTk3Al8AXtfs7/zMPL8p248Dfws8HDjclPse4H3Ao5ry3gH8EvCDwCuA\nDc25uxnYnpnnR8TDmp/5Eeob6GJmXhkRj2j2/Rng7GZ7b8rMjzf7/nBzHjvAhzLzff0cr6aXbfwa\nisz8X+By4PqIuCUiromIS4AvZOahnqaUpwH/DbwGuDgzzwKeCLwxIh7UrPN44MrMfBx1aP12s/w9\nwD9m5mOBXwUCICK2Ai8Dnt38zAuAd/QU7yepm1fOA14FnAr8BHAe8DAGe2rYB/xU8/pdwJcy80zg\nccBcc1wfA54cESc3610C/ElmHu3Zzs8B38nMJ2ZmAP8C/FpmfhF4P/DnmfnmZt1u+T5KfT5PA54E\nvCgiLmz+70eB6zPzbOD1Pcf/OuCvmzI+B3hKRAzzqUsTyODX0GTmu6hr75cB36IOoD0R8QNL1quA\n84GzIuIK4J3UtdGtzSrfyMx9zes9NM0e1EG9s9nGfwKfb15/D3gucH5EvBX4zZ5tAezLzDt7tvGx\nzDycmXcDH2Gw5qcKuKt5/VzgFU27/Zeom2ge2+xrF/DiiNgAXER9A+s9B58AromIX4+IdwNP7Slz\nZ0mZOhFxInAO9c2Ppo9gJ/DspkyHMvNvmvV7z9l1wOUR8QngecBlzflXwQx+DUVEPCkiXpeZ38vM\nz2Tm64HHAEepm1V6190K3ETd3POv1LXSQ9wXdnf3rF71LK+4/zV7uNnew4C9wA8Du4E3c//gvLPn\n9dJtHBnsSDmLutZPs53nZ+a2pu3+CdQ3PYAPARdTNy19NTO/0buRiHhls86d1DX5P1tSrqXhPMMD\nbwgbuK+59uCSn+0AZOZnqJuTPg5sA74SET82wPFqCo0k+CPinIjY2fw7aRT7UOscAN4UEU/pWfZQ\n6lrsV5r3R6jb4B9F3RfwliaYnkrdBr1hhX1cT92O3w3785rlPw18OzN/NzM/T/00QUQc6/q+Hrg4\nIjY3HdIv6PcAI+LxwK9Qt+sD3AC8JiI6EbEJ+CR1UxJNk00HuAK4asmmOsCzgJ2ZeTXwNeAXuO/4\nD1Gfp3s1TxH/1N1+87l6MfVTz7JPLBHxMeDCzPyL5mdvp27eUsFG1bl7KfUH9GzgQh544WvKZObX\nIuIC4G0R8XDq5pDbgEsz8+vNatdR18ifRz0C6N8j4lvAjdRNJadS11yX1na7718FXB0RXwW+SV3L\nB/gc8NKISODbwF9RNzWdygNH/nygWf5vwK3A14+xv+4+H9k040D95HIb8MLM7N7ILqO+Ceyj7tz9\nPPAHPdv4IPXTx18u2W4FXAlcFREXA//TrPPsZp0vANdFxD3Al3vKdxHwnqbvZBPwp5m52HTuLnfO\n3gp8KCJeQX3jvS4z/+EYx6uCdEYxLXNEXJOZF0fEqcBFmfk7Q9+JJGlVBq7xR8TZ1EPlntY8Sr8X\nOI16eNrLMvMW4K7m0fch1MPlJEktMVAbf0RcTv34urlZdAGwKTPPAd5APToD6qadD1A3+XxkOEWV\nJA3DoDX+m6nbZ7th/mTqzjIy84sRcWbz+svUY5clSS0zUI0/M6+jGULXmKUeJdB1ZJmRFJKklljr\nqJ7b6fmKPjCz5NuJK6qqqup0/CKhJA1o1cG51uC/kXrM9LXNzIz7Vlj/ATqdDgcO3LHGYkijMTc3\n6/WpVpqbm115pWWsNvi7Y0A/CTwzIm5s3tuuL0ktN5Jx/AOqrFGprazxq63m5mZX3dRjR6wkFcbg\nl6TCGPySVBiDX5IKY/BLUmEMfkkqjMEvSYUx+CWpMAa/JBXG4Jekwhj8klQYg1+SCmPwS1JhDH5J\nKozBL0mFMfglqTAGvyQVxuCXpMIY/JJUGINfkgpj8EtSYQx+SSqMwS9JhTH4JakwBr8kFcbgl6TC\nGPySVBiDX5IKY/BLUmEMfkkqjMEvSYUx+CWpMAa/JBXG4Jekwhj8klQYg1+SCmPwS1JhDH5JKozB\nL0mFMfglqTAGvyQVxuCXpMIY/JJUGINfkgpj8EtSYQx+SSqMwS9JhTH4JakwBr8kFcbgl6TCGPyS\nVBiDX5IKY/BLUmEMfkkqjMEvSYUx+CWpMAa/JBXG4Jekwhj8klQYg1+SCmPwS1JhDH5JKozBL0mF\nMfglqTAGvyQVxuCXpMIY/JJUGINfkgpj8EtSYQx+SSqMwS9JhTH4JakwBr8kFcbgl6TCGPySVBiD\nX5IKY/BLUmEMfkkqjMEvSYUx+CWpMAa/JBXG4Jekwhj8klQYg1+SCmPwS1JhDH5JKozBL0mFMfgl\nqTAGvyQVxuCXpMIY/JJUGINfkgpj8EtSYQx+SSqMwS9JhTH4JakwBr8kFcbgl6TCGPySVBiDX5IK\nY/BLUmEMfkkqjMEvSYUx+CWpMAa/JBXG4Jekwhj8klQYg1+SCmPwS1JhDH5JKozBL0mFMfglqTAG\nvyQVxuCXpMIY/JJUGINfkgpj8EtSYQx+SSqMwS9JhTH4JakwBr8kFcbgl6TCGPySVBiDX5IKY/BL\nUmEMfkkqjMEvSYUx+CWpMAa/JBXG4Jekwhj8klQYg1+SCmPwS1JhDH5JKozBL0mFMfglqTAGvyQV\nxuCXpMIY/JJUGINfkgpj8EtSYQx+SSqMwS9JhTH4JakwBr8kFcbgl6TCGPySVBiDX5IKY/BLUmEM\nfkkqjMEvSYUx+CdYVVVUVTXuYkiaMGMPfoNrcFVVsX37RubntzI/v5Xt2zd6HiX1bezBPzNTGVwD\nev7zN7F792ZgA7CB3bs3c/rpW9izx3MoaWVjD36YMbgGUFUVu3dvBDo9Szvs37+RHTu2eAOVtKIW\nBD8YXJK0floS/OpXp9Ph3HMPAb03yIqFhUMsLt5Np9NZ7ke1hJ3jKlVLgt/gGsSuXQdZWDh87/uF\nhcPs3Xs327Z57rqOF+p2jqt0rQh+g2swnU6HxcW7WVg45A1ziX5C3c5xla4z7prOQx96pLr66u8Z\n+qvQ/d0Z+vfZvn1jE+rdc1KxsHCYxcW6YlFVFfPzW6lD//4WFg6xd+/9b6Jzc7McOHDHupRdGsTc\n3OyqP/hjr/F/85szhv4qdTodQ7+HI56k/ow9+A2udpn2Dk87x6UWBL/aYRo6PPsNdTvHVTqDf0gm\nvaY8LR2e/YT6pHeOT/q1pvEz+NdoGmrK09Q23m+ob9vWYe/euyeqpj8N15raweBfo2mpKU+TfkN9\n0jrHvdY0LAb/GkxLTXkaOzwnLdRXMi3XmtrB4Bcw/g7PSWu3Xq68oziOSTs3aj+Dfw2mqaY8rg7P\nSWu3Xq68oziO3m0uLHw/J510mGNdazt33rWm/ag8Y//mLlBN8jcjq6ri9NO3sH//RuDY3/6cJOv9\nbeCVvmk7TlVVMTc3y6233nnvsuXKu7BwhJtuGu5xPHBfR+l0jlJVJwAwP3+QRz/6aNMEBOeee4hd\nuw5O7LWnwazlm7sG/xDs2VOxY8cWgFYE1qQYdPqE9SxX3ZFat6mfe+5Bdu06CLBMeSvg6DGWr/44\nlj83R+h0Kubnq5HcbDQ51hL8JwyzIKXqjiIBv4k8De4bPVP/LuvRMxta0qSygZNPPsiePXdxyimz\nHLuzl4l+6tTo2cY/JNM2imQ9tLGP5HijZ17ykhOXKe9hzjhjuMdxvHNzzTX/x8yMH12tnlePxmrc\no4kGde219xyzvDfcMPzjON65aeNNU5PD4NdYtW36hJUCdWZm5pjlHcVxrLTNSbtpqj3s3FUrtOlv\nC/QzUmu58o7iOI63TQcWlMtRPdKQdQN1ZmaGtv+hoDbdNLV+DH5pBI41jl9qi4n+C1xSWzlSS9PK\n4JfWgfPtqE0MfmmEJm0uIpXB4JdGyDn01UYGvzQizqGvtjL4JakwBr80Ik6roLYy+KURcloFtZHB\nL41Q2+YiksD5+KWR8+81qG0MfmkdGPhqE5t6JKkwBr8kFcbgl6TCGPwaKicjk9rP4NdQOBnZ4LxJ\nalwMfg2Fk5H1b9Q3SW8oWonBrzVzMrLBjOom6VOX+mXwS+tolDdJn7rUL4Nfa+ZkZOPnU5cGYfBr\nKJyMrD/eJNUGBr+GYj0nI5v0zsvj3SRXe2zeUDQIg19D052MbFQ1/WnpvDzWTRJY87H51KV+dVrw\nwakOHLhj3GXQBNi+fWPTedkNsoqFhcMsLo4u3ObmZhnV9dn97HU6naEd2549FTt2bAEY6XnR+M3N\nza76l2vwayJUVcX8/FbqESv3t7BwiL17R9OcMcrg7xr2sfXeUDS91hL8TsssTRkDXyuxjV8TYZo7\nL6f52NRONvVoYlRVxemnb2H//o3AaJt4utajqQfGc2yabGtp6rHGr4kxzX+/dpqPTe1jjV8TZz07\nL9erxt9lx6z6ZeeuijLNoTjNx6b2sKlHkgpj8EtSYQx+SSrMyII/Ip4eER8c1fYlSaszkuCPiEcC\nZwDfN4rtS5JWbyTBn5m3ZOYfjmLbkqS16Xs4Z0ScDbw9M58WETPAe4HTgHuAl2XmLRHxNuBU4JWZ\n+d2RlFiStCZ9BX9EXA68CLizWXQBsCkzz2luCO8ELsjMt4ymmJKkYem3qedm4HncN1n4k4HrATLz\ni8CZx/qhzHzxWgsoSRquvoI/M68DDvcsmgVu73l/pGn+kSS13GqnbLidOvy7ZjLz6Cq31Zmbm115\nLWlMvD41bVZbS78ReA5ARDwB2De0EkmSRmrQGn93Ks9PAs+MiBub95cMr0iSpFFqw7TMkqR1ZIes\nJBXG4Jekwhj8klSY1v0Frog4B3h58/bVmXnbOMsjLRURTwdemJmXjrssUldEnAdcCJwIvCMzlx1t\n2cYa/6XUwf9h6oOQWsOZZ9ViWzLz5cCVwLOOt2Ibg39DZh4EvgWcMu7CSL2ceVZtlZmfjoitwGXA\nzuOtu65NPf3M8AncFRGbgIcA+9ezfCpbn9entO76nB35wcA7gCsy89bjbW/davzNDJ8fBDY3i+6d\n4RN4A/UMnwBXAR+gbvL5yHqVT2Ub4PqU1tUA1+Y7gXng9yNi+/G2uZ41/u4Mn90wv98MnxFxZvP6\ny/hNYK2/vq7PLmee1TrqNzt39LvBdavxO8On2szrU201imtznBfyMGf4lIbN61NtteZrc5zB7wyf\najOvT7XVmq/NcXyByxk+1WZen2qroV2bzs4pSYWxs0qSCmPwS1JhDH5JKozBL0mFMfglqTAGvyQV\nxuCXpMIY/JJUGINfkgpj8EtSYf4f7ARB08BjX7sAAAAASUVORK5CYII=\n", + "png": "iVBORw0KGgoAAAANSUhEUgAAAX4AAAEPCAYAAABFpK+YAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nhTH4JakwBr8kFcbgl6TCGPySVJj/BxLHSHkd48WoAAAAAElFTkSuQmCC\n", "text": [ - "" + "" ] - }, + } + ], + "prompt_number": 24 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "trials100 = run_trial(100000, 100)\n", + "trial_ratios100 = trial_ratio(trials100)\n", + "means100 = means(trial_ratios100)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 25 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "histogram(means100, \"Histogram for 100,000 Trials of 100 flips\")" + ], + "language": "python", + "metadata": {}, + "outputs": [ { "metadata": {}, "output_type": "display_data", - "png": "iVBORw0KGgoAAAANSUhEUgAAAZMAAAEZCAYAAABSN8jfAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAAElFTkSuQmCC\n", + "png": "iVBORw0KGgoAAAANSUhEUgAAAZQAAAEZCAYAAACw69OmAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAASUVORK5CYII=\n", "text": [ - "" + "" ] - }, + } + ], + "prompt_number": 26 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "trials1000 = run_trial(100000, 1000)\n", + "trial_ratios1000 = trial_ratio(trials1000)\n", + "means1000 = means(trial_ratios1000)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 27 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "histogram(means1000, \"Histogram for 100,000 Trials of 1000 flips\")" + ], + "language": "python", + "metadata": {}, + "outputs": [ { "metadata": {}, "output_type": "display_data", - "png": "iVBORw0KGgoAAAANSUhEUgAAAZQAAAEZCAYAAACw69OmAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n5nunhWB6mwAAAABJRU5ErkJggg==\n", + "png": "iVBORw0KGgoAAAANSUhEUgAAAZQAAAEZCAYAAACw69OmAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzt3XucHFWZ//HPgCQkZhINO+huiCCoj4hmucpVIBqDhBUE\nXfgBLkGXcBEjsihqZBEiLCDGhbguQbIKAX7KiqyiLCGYBRKjkqAYQdivRhMIojDJ5DKBkOvsH6ea\nNM1cenqqu6cn3/frlVemT5+uek53Vz196lTVaero6MDMzKyvdqh3AGZmNjA4oZiZWS6cUMzMLBdO\nKGZmlgsnFDMzy4UTipmZ5eI19Q7A8hMRW4G/ktRWVHYm8GFJH4yIy4Elkm7tZhmXAr+WdHfVA65A\nROwA/BfwduB6Sf/ex+V9HPiQpONLyj5D2j5+AnxK0uaIGArMBPYl/Rj7nKQfdrLMLutFxMHAN4Ch\nwLPARyX9JXtuCvAP2Xpvk3R5yXLfAdyePRwJjACWZo9vlnR9Sf1HgaMkre2m/Q8CX5f0/e7ep3JE\nxBeBs4GfSPrHTp4fDPwYmFFYX7Xeq6xOMzAbGA58G7hcUnNEnAO8TtI1fW2zvZITysD38oVGkr5U\nRv33Ar+tXjh9thswHhgqqeKLqCJiJPAvwEeB/ykqfydwGbAf0EbagV8IXJuVr5X0jogYDfwiIh6R\n9KeSxXdWbxGwArgTOFnSzyPiXOA/gOMiYgLwEWB/YCtwX0Q8Iel7hYVKeiKLi4iYSPqhcDxdkLRf\nGW9FB0XfkT76OHCqpJ+VPhERhwL/DgRwQ9FTl1GF9yqzH7CrpLdGxB7A5QCSbsypvVbCCWXgaerq\ncUTcDDwmaVrWW/kQsBFYCZwJfBg4ALg2IjYDD5J+If4taadzLzBF0pZso74a2AL8GhgHHAGMBf6R\n9KtyNfBBYAbwVtKv6nbgNEm/y34dP0JKYrsC1wNvAI4CXkvamTxeFH/hF+dOwK8i4sPAKOAr2fo2\nApdIui/rmb0ch6T3lbwvfw/8idQTOa6o/ATgh5JWZuu8EZhOSigfAk4FkLQ8IuYAJwP/WrLszuqd\nAiwE1kj6eVbvW8B1WXI7Ebhd0vpsvd8mJbvSnWRBEyWfdURsAH5A+rxOBxYBfwVsIO3EX/UZFL12\nR+DfgMOz9/GPwMckvVCyjt2yZe2erf8WSV+NiDtIyf5bEXGppP8siXcyMAW4uCTuqrxXERGkBDQq\nIn4FnFb03GXALpImR8QyUo/3COB1wDRJMyJiGKlX8xZS0volcE5ffsRsDzyGMvA8EBGPFv6RfpUV\nNoIOoCP7JXgBcKCkg4A5wLslfYO0g/9MdthhOtAq6V3AgaQd1WciYhdgFnB69iv4AdKOvbCed5AO\ntbwPOBZok3SopCDt5D5ZFO/ukvYHTgKuAR7IYppN2gm9TFJ7trz12XrXkHYin5L0t8BE4Lbs12hp\nHJQs60ZJXwZeKnlqN+CZosd/ysoARgPLi557pui5Yl3V2624XNJGoJX03u1W8pri9ZZrJ+BuSW+X\n9Mui8g/Q/WcAcBjpvRoj6UBSQnlXJ+u4HZgraQwp+Xw0Ik6RdArpsNRpnSQTJJ0m6d7sYfFOuSrv\nlSQBZwF/yL5fpZ9z8TYxLPvOHQVMzXqpJ2bl+wEHZXXf3Mn7YUWcUAaeoyXtV/gHXMqrey3PAIuB\nRyPiWroeM/kA6VdrYYOeQdqhvwd4QtJj2XOzgOLj9L+RtC577vvArIiYHBHXA0eTeh+QNua7sr//\nmP0/O/v/D6Rf06WK23IwaUxoUbauJ4AF2To6iuPohc62iS1lPFfOMrra3rp6rrNl92R+aUEPn0HB\nb4AtEfFwREwFvi/pF8UVIuK1pMTzjWy5a4GbSd+JSlXzvSr93nel0J5nSd+/8aT3cZ+IeAD4PHCd\npD92vQgDJ5TtwasOgUnqkHQU6Rf9SuBfI+K6Tl67Q8nrdyT9Ct7cyXK3Fv398k48Is4jDbquI/26\n/U7JazcUL0RSYcdQzs6gs+/vjmw7lNvbZALwNPDXRY9Hse3X8NPA3xQ9V/pLmR7qvWLZEbET6ZDU\nnzp5zShe2VMq16vaXMZngKQ1pB7oRaSd8x0R8emSRRW+D6Xfib4cOq/ne1VQnIx2BDZLWkY63HUV\naVD/J9khVuuGE8r2pQkgIsZExOPA/0q6GrgOGJPV2QwMyv6+Dzg/e81g0hk8c0i9gLdFxLuy5z5M\nOv7c2fHl8aQzkL4N/A44nrTRviKmCv0irT4OyuLYh9R7erAPy70bOD4iWiKiidTmH2TP/TB7XBhL\nOIZ01lKpruotBHbJBqghDWL/LNuZ/xA4PSKGZu/1RNKx/b5qoozPICKOA+YCP8/OmJrFtu8E8PIh\nx1+w7TsxgnSm1f0VxFRQr/eqOIYzsvW/CXg/cG+WhL8taY6kz5O2hX16uY7tjhPKwNLZDr34LJ4O\noEPSb4D/BB7Jzqg5k3QmE8CPgK9GxD8AnwJ2jYjHSIdEngSulLSKNJA6KyJ+SdphbQZe5NVnDX0V\nOCciHgHuIO2c39JFzKV/dzUA2gEgaQVpcP3rEfEb0q/vMyUt6eH1pcsqPhPuMWAq6cyvJ4FNpLEd\ngC8Bw7JkfD9prGkpQER8LyI+2F09SZtIY0XXZc+dCnwsW++PSYf/FgKPAY+om9O7u2hfZ487KO8z\nuJd0dt/j2XfiUNIZWKVOB96Xvd8PA3dKuqWbOLuKvaDa71Vn36/S9+5N2fd4NnCBpN8DtwA7RsQT\n2fvRTDppxLrR5NvXW29lZ1tdAlwmaX1E7A/8SNKoOodWN1kCXlE08GwNICKWAqdIWljvWAaCqp42\nnF2YdLWksRHxdtJx3A5St/ssSR0RMYnU5d0MXCHpnogYAtwGtJBOcZwoaUVEHEI6PLMZmCNpajXj\nt85Jao+IjcCiiNhE+hV/cp3DqrcO0kWQZtutqvVQIuJi0rnh6yQdFhHfJR3HnR0RtwHfJZ2iOod0\n7cMQ4Kek01M/STplb2pEnAIcKunTEfFr4ERJSyPiHuCLkn5dlQaYmVmvVHMMZQnpGGhh8Gs9aZCt\niXQ8ciPwbmCBpE3ZKYhLSAOBh7Pt9NHZwLjsMMugwjFr0iDZuCrGb2ZmvVC1hCLpLtKhqYKvkwa1\nniBdFf0Q6XS8NUV12kn3JxrOtusaOisrLjczs36glrdeuQ14j6QnI+ITwDRSL6O5qE4z6XYda4vK\nOyuDlGBW97TSjo6OjqamvpyZama23alop1nLhDKU1KsA+DPpituFwJXZueQ7A3sDj5Ouc5hAukXE\nscC8wkBwROxJusPqeDo/rfEVmpqaaG1t76laQ2ppaR6wbQO3r9G5fY2rpaW550qdqEVCKYz6nwXc\nGREvka6OniTpuYiYTrrNwQ6kGw9uiIgbgFsiYn5Wt3Bjt3NJ1xrsCNxXuOWGmZnV3/ZwHUrHQP4V\nMVDbBm5fo3P7GldLS3NFh7x8pbyZmeXCCcXMzHLhhGJmZrlwQjEzs1w4oZiZWS6cUMzMLBdOKGZm\nlgsnFDMzy4UTipmZ5cIJxczMcuGEYmZmuXBCMTOzXDihmJlZLpxQzMwsF04oZmaWi1rO2GjWr2zc\nuJHly5+q2/pXrRpGW9s6Ro/enUGDBtUtDrO8OKHYdmv58qe44Nq7GTpi17rF8OKa57n+s8ez115v\nrVsMZnmpakKJiIOBqyWNjYhdgZuA1wFNwBmSlkXEJOBsYDNwhaR7ImIIcBvQQpqHfqKkFRFxCHBd\nVneOpKnVjN8GvqEjdmXY60fVbf1bt2zm6afr10sqcC/J8lC1hBIRFwMfBdZlRV8BbpV0Z0QcDbwz\nm19+MnAAMAT4aUTcD5wHLJY0NSJOAS4BPg3MAE6UtDQi7omIfSX9ulptMKu2l9atZNodbQwd8ee6\nxeBekuWlmj2UJcBJwK3Z48OAxVnCWAZcAIwDFkjaBGyKiCXAGOBw4JrsdbOBf46IZmCQpKVZ+X3Z\n651QrKEN1F5SYYyoHO4hDQxVSyiS7oqIPYqK9gDaJL0/Iv4Z+BzwO2BNUZ12YAQwHFjbTVmhfM9y\nYmlpaa6gBY2hUdu2ceNGli1b1m2dVauq+6t9zZrWqi6/UdS7l/Timue59arTGDXqbXVZf1806vZX\nLbUclF8J3J39/SPgSuARoPgTaQZWkxJHczdlkBLM6nJW3NraXnHQ/VlLS3PDtu0Pf/h93QfEVz7z\nJLvstnfd1t+f1LuX1Na2ruG+y428/fWk0kRZy4TyU+A40mD7UcDjwELgyogYDOwM7J2VLwAmAIuA\nY4F5ktojYmNE7AksBcYDl9UwfstZvXdiL655rm7rNhuIanFhY0f2/0XAGRGxgJQM/kXSc8B0YD4w\nF5giaQNwA7BPRMwHzgIuz5ZxLnA78DDwK0mLahC/mZmVoao9FEnLSIPxSHqalEhK68wEZpaUrQdO\n7qTuw8Ch1YjVzMz6xrdeMTOzXDihmJlZLpxQzMwsF04oZmaWCycUMzPLhROKmZnlwgnFzMxy4YRi\nZma5cEIxM7NcOKGYmVkunFDMzCwXTihmZpYLJxQzM8uFE4qZmeXCCcXMzHLhhGJmZrmo6gRbEXEw\ncLWksUVlpwGflHRY9ngScDawGbhC0j0RMYQ0VXAL0A5MlLQiIg4BrsvqzpE0tZrxm5lZ+arWQ4mI\ni4GbgMFFZfsBHy96/EZgMmlWx2OAqyJiEHAesFjSkcAs4JLsJTOAUyUdARwcEftWK34zM+udah7y\nWgKcBDQBRMQuwJXApwtlwLuBBZI2SVqbvWYMcDgwO6szGxgXEc3AIElLs/L7gHFVjN/MzHqhaglF\n0l2kQ1NExA7AfwD/BKwrqjYcWFP0uB0YkZWv7aasuNzMzPqBqo6hFDkAeAtwA7Az8I6I+BrwANBc\nVK8ZWE1KHM3dlEFKMKvLWXlLS3PPlRpUo7Zt1aph9Q7B+pGRI4c15He5EWOuppokFEmLgHcCRMTu\nwHcl/VM2hnJlRAwmJZq9gceBBcAEYBFwLDBPUntEbIyIPYGlwHjgsnLW39rannOL+oeWluaGbVtb\n27qeK9l2o61tXcN9lxt5++tJpYmyFqcNd5Q8biqUSfoLMB2YD8wFpkjaQOrJ7BMR84GzgMuz154L\n3A48DPwqS1RmZtYPVLWHImkZ6QyuLsskzQRmltRZD5zcyfIeBg6tQqhmZtZHvrDRzMxy4YRiZma5\ncEIxM7NcOKGYmVkunFDMzCwXtbqw0fqRjRs3snz5U3WN4emn67t+M8ufE8p2aPnyp7jg2rsZOmLX\nusWw8pkn2WW3veu2fjPLnxPKdmroiF0Z9vpRdVv/i2ueq9u6zaw6PIZiZma5cEIxM7NcOKGYmVku\nnFDMzCwXTihmZpYLn+VlZnW1dcvmfnFd0ujRuzNo0KB6h9HQnFDMrK5eWreSaXe0MXTEn+sWw4tr\nnuf6zx7PXnu9tW4xDAROKGZWd/W+Lsry4TEUMzPLRVV7KBFxMHC1pLERsS9put8twAbgDEnPR8Qk\n4GxgM3CFpHsiYghwG9ACtAMTJa2IiEOA67K6cyRNrWb8ZmZWvqr1UCLiYuAmYHBWdB3wSUljgbuA\nz0XEG4DJpCmBjwGuiohBwHnAYklHArOAS7JlzABOlXQEcHCWpMzMrB+o5iGvJcBJQFP2+P9J+k32\n907AeuDdwAJJmyStzV4zBjgcmJ3VnQ2Mi4hmYJCkpVn5fcC4KsZvZma9ULWEIuku0qGpwuO/AETE\nYcD5wL8Cw4E1RS9rB0Zk5Wu7KSsuNzOzfqCmZ3lFxCnAFGCCpJURsRZoLqrSDKwmJY7mbsogJZjV\n5ay3paW550oNqpK2rVo1rAqRmDW2kSOH9Xp7Gsj7lkrULKFExEdJg+9HS1qVFS8EroyIwcDOwN7A\n48ACYAKwCDgWmCepPSI2RsSewFJgPHBZOetubW3Psyn9RktLc0Vta2tbV4VozBpbW9u6Xm1PlW5/\njaDSRFmLhNIRETsA1wNPAXdFBMCDki6PiOnAfNLhtymSNkTEDcAtETGfdEbYadmyzgVuB3YE7pO0\nqAbxm5lZGaqaUCQtI53BBbBLF3VmAjNLytYDJ3dS92Hg0HyjNDOzPPjCRjMzy4UTipmZ5cIJxczM\ncuGEYmZmuXBCMTOzXDihmJlZLpxQzMwsF04oZmaWCycUMzPLhROKmZnlwgnFzMxy0WNCiYiDahGI\nmZk1tnJuDvmViGgBbgFuLUyUZWZmVqzHHko2B/xxpPlK5kTEjyPiIxGxU9WjMzOzhlHWGIqkp4BZ\nwHeAdwGfAn4bESdVMTYzM2sg5YyhTIqIh4CfkCa2OlzSkcDRwIzqhmdmZo2inDGUI4EvAQ9J6igU\nSno2Ij5RtcjMzKyhlJNQPg9cIOnBiHgzMBX4jKTnJN3Z3Qsj4mDgakljI+ItwM3AVtK88edL6oiI\nSaS55jcDV0i6JyKGALcBLUA7MFHSiog4BLguqztH0tRKGm1mZvkrZwzlduCP2d/PAvOAW3t6UURc\nDNwEDM6KvkaaM/5IoAk4ISLeCEwmTRN8DHBVRAwCzgMWZ3VnAZdky5gBnCrpCODgiNi3jPjNzKwG\nykkoIyXNAJC0QdJNpJ5DT5YAJ5GSB8D+kuZlf98LjAMOAhZI2iRpbfaaMcDhwOys7mxgXEQ0A4Mk\nLc3K78uWYWZm/UA5CWV9REwoPIiIccC6nl4k6S7SoamCpqK/24ERwHBgTRfla7spKy43M7N+oJwx\nlHOA2yOicJhrOfDRCta1tejv4cBqUoJoLipv7qS8s7LiZfSopaW550oNqpK2rVo1rAqRmDW2kSOH\n9Xp7Gsj7lkr0mFAk/RrYJyJ2AQqHpirxaEQcJekh4FhgLrAQuDIiBpMunNybNGC/AJgALMrqzpPU\nHhEbI2JPYCkwHrisnBW3trZXGHL/1tLSXFHb2tp67GCabXfa2tb1anuqdPtrBJUmyh4TSkTsD0wB\nRgJNEQHQIem9Za6jcKrxRcBN2aD7E8Cd2Vle04H5pMNvUyRtiIgbgFsiYj6wATgtW8a5pJMEdgTu\nk7SozBjMzKzKyjnkNYt0dtVv2ZYcOrquvo2kZaQzuJD0e9LFkKV1ZgIzS8rWAyd3Uvdh4NBy1m1m\nZrVVTkJ5QdK/VT0SMzNraOUklPsi4lOk03dfKhRKerpqUZmZWcMpJ6GcQTrEdWFJ+ZvzD8fMzBpV\nOWd57VGDOMzMrMGVc5bXSOAa4C2kgfJrgIskrapybGZm1kDKuVL+JuARYBfS1enPkm7caGZm9rJy\nEsqbJd0IbJH0kqRLgNFVjsvMzBpMOQllU0S8fM+siHgrsKV6IZmZWSMq5yyvLwEPAm+KiB+SLiz8\neDWDMjOzxlPOWV6zI+KXwLtJtzw5W9JzVY/MzMwaSjlneX2JdB1K4fbz+0YEni3RzMyKlTOG0sS2\nZDIIOAF4Q9UiMjOzhlTOIa/Lih9HxFTg/moFZGZmjamcHkqpZnzasJmZlShnDGVp0cMm4PXAtVWL\nyMzMGlI5pw2PLfp7K7BG0pquKpuZ2fapnIRyFNsm1GoCOrJZG5tIMzfOqlJsZmbWQMpJKONJSeUu\nYBNwHNBKmvsd0oyOZYmIHUizM76N1NuZRLrq/ubs8ePA+dnUwJOAs4HNwBWS7omIIaT7iLWQ7is2\nUdKKctdvZmbVU86g/G7AvpI+Jeki4CBgB0nnSTqvl+sbD7xW0hHAVOBfgGmkueSPJPV6ToiINwKT\nSdMHHwNclc1Ffx6wOKs7C7ikl+s3M7MqKSeh/DWwuujxRmBEF3V7sh4YERFN2TI2AgdImpc9fy8w\njpS0FkjaJGktsAQYAxxOmjmS7P9xFcZhZmY5K+eQ14+BuRHxPVICOhW4tcL1LQB2Bv6XdDv8DwJH\nFj3fTko0w4E1XZSvLSkzM7N+oJyEchHw96Qd/3rgUkmVXth4Mann8cWI2A14ANip6PnhpN7QWtL1\nLgXNnZQXynrU0tLcc6UGVUnbVq0aVoVIzBrbyJHDer09DeR9SyXKuVK+IyKeBX4LfJt0k8hKvZZt\nPYxV2fofjYijJD0EHAvMBRYCV0bEYFKPZm/SgP0CYAKwKKs7jzK0trb3IeT+q6WluaK2tbWtq0I0\nZo2trW1dr7anSre/RlBpouxxDCUiPg18GbiQ1Cv4ZkR8tqK1pQsiD4mI+aTE8QXgk8DlEfEzUoK5\nM7ub8XSgUG+KpA3ADcA+2evPAi6vMA4zM8tZOYe8zgQOBn4hqTUiDiL1IHp9tbyk1cCJnTx1dCd1\nZ5JOMS4uW0+a197MzPqZcs7y2pL1DgrWk64NMTMze1k5CeWhiJgGDIuIDwF3A/9T3bDMzKzRlJNQ\nPgP8HlgMnAH8N+nMLzMzs5eVM4YyW9J4YEa1gzEzs8ZVTg9lSES8qeqRmJlZQ+uyhxIRp0i6AxgF\nLIuI50kD8pDuMrxnLQI0M7PG0N0hr6kR8X3ShFp7sG1eeTMzs1fpLqEsADaQEsmykuc6gB2rFJOZ\nmTWgLhOKpI8DH4+IuyUdX8OYzMysAfU4KO9kYmZm5SjnLC8zM7MeOaGYmVkunFDMzCwXTihmZpYL\nJxQzM8uFE4qZmeXCCcXMzHJRzt2GcxURXwA+COwE/Bvpivybga2keePPz+axnwScTZrM6wpJ90TE\nEOA2oAVoByZKWlHrNpiZ2avVtIcSEUcDh0o6jDTt757ANNKc8UeSbvNyQkS8EZgMHAYcA1wVEYOA\n84DFWd1ZwCW1jN/MzLpW60Ne44HHIuIHwI9Isz8eIGle9vy9wDjgIGCBpE2S1gJLgDHA4cDsrO7s\nrK6ZmfUDtT7k1QKMBv6O1Dv5Ea+8i3E7MAIYDqzponxtSVnPK21p7lPQ/VklbVu1algVIjFrbCNH\nDuv19jSQ9y2VqHVCWQE8KWkz8LuIeIk030rBcGA1KWkUf1LNnZQXynrU2trex7D7p5aW5ora1ta2\nrgrRmDW2trZ1vdqeKt3+GkGlibLWh7x+CnwAICL+BhgKzI2Io7LnjwXmAQuB90TE4IgYAexNGrBf\nAEwoqWtmZv1ATXso2ZlaR0bEQlIy+wRprpWbskH3J4A7s7O8pgPzs3pTJG2IiBuAWyJiPmmultNq\nGb+ZmXWt5qcNS/pcJ8VHd1JvJjCzpGw9cHJ1IjMzs77whY1mZpYLJxQzM8uFE4qZmeXCCcXMzHLh\nhGJmZrlwQjEzs1w4oZiZWS6cUMzMLBdOKGZmlouaXylvsHHjRpYvf6rPy1m1alhFN3p8+um+r9vM\nrJQTSh0sX/4UF1x7N0NH7FqX9a985kl22W3vuqzbzAYuJ5Q6GTpiV4a9flTPFavgxTXP1WW9Zjaw\neQzFzMxy4YRiZma5cEIxM7NcOKGYmVku6jIoHxG7Ar8E3gdsBW7O/n8cOD+bsXEScDawGbgim+1x\nCHAb0AK0AxMlrahDE8zMrETNE0pE7ATcCLwANAFfI03xOy+b4veEiPgFMBk4ABgC/DQi7gfOAxZL\nmhoRpwCXAJ+udRvMbGDZumVzr6/PqvQ6sO6MHr07gwYNynWZtVSPHsq1wA3AF7LH+0ual/19LzAe\n2AIskLQJ2BQRS4AxwOHANVnd2cA/1yxqMxuwXlq3kml3tDF0xJ/rFsOLa57n+s8ez157vbVuMfRV\nTRNKRJwJtEqaExFfIPVQmoqqtAMjgOHAmi7K15aUmZn1WT2vDRsoat1D+RjQERHjgH2BW0jjIQXD\ngdWkpNFcVN7cSXmhrEctLc09V6qhVauG1TsEM+uHRo4c1u/2V71R04Qi6ajC3xHxAHAucG1EHCXp\nIeBYYC6wELgyIgYDOwN7kwbsFwATgEVZ3XmUobW1Pc9m9Fnex13NbGBoa1vXL/ZXlSa1ep823AFc\nBFweET8jJbg7JT0HTAfmkxLMFEkbSGMv+0TEfOAs4PL6hG1mZqXqdi8vSWOLHh7dyfMzgZklZeuB\nk6sbmZmZVaLePRQzMxsgnFDMzCwXTihmZpYLJxQzM8uFE4qZmeXCCcXMzHLhhGJmZrlwQjEzs1w4\noZiZWS6cUMzMLBdOKGZmlgsnFDMzy4UTipmZ5cIJxczMcuGEYmZmuXBCMTOzXDihmJlZLmo6Y2NE\n7AR8C9gdGAxcATwJ3AxsJc0bf76kjoiYBJwNbAaukHRPRAwBbgNagHZgoqQVtWyDmZl1rtY9lNOB\nVklHAh8AvgFMI80ZfyTQBJwQEW8EJgOHAccAV0XEIOA8YHFWdxZwSY3jNzOzLtQ6oXwPuLRo3ZuA\n/SXNy8ruBcYBBwELJG2StBZYAowBDgdmZ3VnZ3XNzKwfqOkhL0kvAEREMym5XAJ8tahKOzACGA6s\n6aJ8bUmZmZn1AzVNKAARMRq4C/iGpO9ExFeKnh4OrCYljeai8uZOygtlPWppae65Ug2tWjWs3iGY\nWT80cuSwfre/6o1aD8q/AZgDfELSA1nxoxFxlKSHgGOBucBC4MqIGAzsDOxNGrBfAEwAFmV151GG\n1tb2XNvRV21t6+odgpn1Q21t6/rF/qrSpFbrHsoU0mGqSyOiMJZyATA9G3R/ArgzO8trOjCfNNYy\nRdKGiLgBuCUi5gMbgNNqHL+ZmXWh1mMoF5ASSKmjO6k7E5hZUrYeOLkqwZmZWZ/4wkYzM8uFE4qZ\nmeXCCcXMzHLhhGJmZrlwQjEzs1w4oZiZWS6cUMzMLBdOKGZmlgsnFDMzy4UTipmZ5cIJxczMcuGE\nYmZmuXBCMTOzXDihmJlZLpxQzMwsF04oZmaWi5rPKV9vcx/6KY88/se6xrDT1hcAzytvZgNLwyWU\niNgB+HdgDGka4LMk/aHc1y9Z+ifUvlu1wivL8HULcUIxs2Jbt2zm6aefqncYjB69e8WvbbiEAnwI\nGCTpsIg4GJiWlZmZNayX1q1k2h1tDB3x57rF8OKa57n+s8czatQuFb2+ERPK4cBsAEkPR8SBdY7H\nzCwXQ0fsyrDXj6p3GBVrxIQyHFhb9HhLROwgaWs5L25iC1tXPladyMq0aetaXnxhp7qtf317G9BU\nt/U7BsfQn9bvGLZ5cc3zfXp9IyaUtUBz0eOekklTS8u26l/87DnVisvMbLvWiKcNLwAmAETEIcBv\n6huOmZmYhl83AAAFoklEQVRBY/ZQ/gt4f0QsyB5/rJ7BmJlZ0tTR0VHvGMzMbABoxENeZmbWDzmh\nmJlZLpxQzMwsF404KP8qPd2OJSJOBS4ANgOPAZ+Q1DCDR2W078PA54AO4HZJ0+sSaIXKvZ1ORHwT\nWCnpCzUOsWJlfHYXAv8ItGZF50j6Xc0DrVAZ7TuIdDeLJuBPwBmSNtYj1kp0176IeAPw3aLq+wKf\nk/TNmgdaoTI+vxOBKaR9y7ckzehueQOlh/Ly7ViAz5O+wABExBDgy8DRko4ARgB/V5coK9dd+3YE\nrgLeBxwKfCIiRtYlysp12b6CiDgHeCfpi91Iemrb/sA/SBqb/WuYZJLp7rvZBHwTOFPSe4C5wJvr\nEmXlumyfpOcKnxtpp/tL4Kb6hFmxnr6fXwPeT7pDyUURMaK7hQ2UhPKK27EAxbdjeQk4VNJL2ePX\nAOtrG16fddk+SVuAt0tqB1qAHYGG+QWY6e7zIyIOA94N3Ei9LyXuvW7bBhwATImI+RHx+VoHl4Pu\n2vc2YCXwTxHxIPA6Sap5hH3T0+dXSJzTgfMa6chHpqf2bQJeBwwhbXvdtm+gJJROb8cCIKlDUitA\nREwGXivpJ3WIsS+6bB+ApK0RcRLwKPAA8GKN4+urLtsXEX8NXAp8ksZLJtDDZwd8BzgHeC9wREQc\nV8vgctBd+/4KOAz4OjAOeF9EjK1xfH3V0+cH8EHgcUm/r11YuempfdNIPa/HgR9JKq77KgMloXR7\nO5aI2CEivko6LPThWgeXgx5vNyPpLmAUMBg4o4ax5aG79n2EtGP6b9I40WkR0Ujt6+mzu15Sm6RN\nwD3AfjWNru+6a99KYImSzaRfwo12M9dybvV0OunQXiPqsn0R8SbSD7ndgT2AN0TER7pb2EBJKD3d\njuVG0o72xKJDX42ky/ZFxPCIeCgiBmXd7ReALfUJs2Jdtk/S1yUdmB2nvhr4/5Jm1SfMinT32Y0A\nHouI12aHTd4LPFKXKCvX3bb3R2BYROyVPX4P6ZduIynnVk8HSvp5TaPKT3ft25m0L9mQJZnnSYe/\nujQgrpTPNsbCmQqQbsdyAGkWq0eyf/OKXnK9pB/UNMg+6K59km6KiEmkM4U2AYuByY10LLen9hXV\nmwiEpCm1j7IyZXx2pwIXks6w+Ymky+sTaWXKaF/hh0ATsEDShfWJtDJltK8FuE/S/vWKsS/KaN+F\nwGmkseglwKSst9mpAZFQzMys/gbKIS8zM6szJxQzM8uFE4qZmeXCCcXMzHLhhGJmZrlwQjEzs1w4\noZj1QkTsERFbI2JcSfmy7Mrivix7WQPe2NPsZU4oZr23CbgpIoYVleVxQVcHjXm/MjNggMyHYlZj\nzwJzSDfOO6eofGxEnJndJoaIuJl0s84HgR8CfwDeRbpzw4PAmcDrSbcE+t9sGddExP6kO2JPkvRE\nNu/GDGA0sBX4gqS5EXEZcEhW/vWe5qowqzb3UMwq8xngmNJDXyU62NbreBcwFQjgIGD3bA6K7wBn\nF73mt9ltPK4Ebs7KridNbnQgcAJwY1HvaJCkfZxMrD9wQjGrQDb/zCRefeirK3+RtDi7x9ozpMmm\nAJ4m9VIKZmbL/29gr4gYTrr1+9SIeJR01+XXAHuRktXDebTHLA9OKGYVknQ/cD9pVjuApbxyDGSn\nor9LJz3r6gZ7pXeK3kTaTsdK2k/SfqRJkR7Lnm/Eu2fbAOWEYtY3FwHjgb8BVgB7RsTg7Gyt9/Ry\nWU2kuTUKc3k/KWk98D/A+Vn5PqQ7Sg/FA/jWzzihmPXey2d0FR36eg1pLpp7gN8C/8m2KRM66Pos\nsOLnOoB3Zoe2LgAmZuWTgUMiYjFpzOV0Set6WK5Zzfn29WZmlgv3UMzMLBdOKGZmlgsnFDMzy4UT\nipmZ5cIJxczMcuGEYmZmuXBCMTOzXDihmJlZLv4PEByCK+ZV+JMAAAAASUVORK5CYII=\n", "text": [ - "" + "" ] - }, + } + ], + "prompt_number": 28 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "box_plot([means100, means1000], \"Box Plot\", [\"100 flips\", \"1000 flips\"])" + ], + "language": "python", + "metadata": {}, + "outputs": [ { "metadata": {}, "output_type": "display_data", - "png": "iVBORw0KGgoAAAANSUhEUgAAAXEAAAEKCAYAAADkYmWmAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", + "png": "iVBORw0KGgoAAAANSUhEUgAAAXEAAAEKCAYAAADkYmWmAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text": [ - "" + "" ] } ], - "prompt_number": 10 + "prompt_number": 29 }, { "cell_type": "code",