From ea487340a9dcce33ace5d443d1469406be4faf88 Mon Sep 17 00:00:00 2001
From: andressa <atm.andrade27@gmail.com>
Date: Sun, 15 Feb 2026 15:27:14 +0000
Subject: [PATCH] lab.probability

---
 lab-intro-probability.ipynb | 225 ++++++++++++++++++++++++++++++++----
 1 file changed, 201 insertions(+), 24 deletions(-)

diff --git a/lab-intro-probability.ipynb b/lab-intro-probability.ipynb
index 5893fc1..4a3acd6 100644
--- a/lab-intro-probability.ipynb
+++ b/lab-intro-probability.ipynb
@@ -38,11 +38,35 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 1,
    "metadata": {},
    "outputs": [],
    "source": [
-    "#code here"
+    "from scipy.stats import binom\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 6,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "np.float64(0.8844772466215439)"
+      ]
+     },
+     "execution_count": 6,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "n = 460\n",
+    "p = 0.03\n",
+    "\n",
+    "binom_dist = binom(n,p)\n",
+    "1- binom_dist.cdf(9)"
    ]
   },
   {
@@ -72,11 +96,24 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 5,
+   "execution_count": 7,
    "metadata": {},
-   "outputs": [],
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "The probability is 0.9409\n"
+     ]
+    }
+   ],
    "source": [
-    "#code here"
+    "from scipy.stats import geom\n",
+    "\n",
+    "p = 0.03\n",
+    "geom_dist = geom(p)\n",
+    "\n",
+    "print(f\"The probability is {1 - geom_dist.cdf(2):.4f}\")\n"
    ]
   },
   {
@@ -107,11 +144,26 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 6,
+   "execution_count": null,
    "metadata": {},
-   "outputs": [],
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "The probability that the call center becames overwhelmed is  0.01289822084039205\n"
+     ]
+    }
+   ],
    "source": [
-    "#code here"
+    "from scipy.stats import poisson\n",
+    "\n",
+    "mu = 500\n",
+    "poisson_dist = poisson(mu)\n",
+    "\n",
+    "p = 1 - poisson_dist.cdf(550)\n",
+    "\n",
+    "print(\"The probability that becames overwhelmed is \", p)\n"
    ]
   },
   {
@@ -123,11 +175,63 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 7,
+   "execution_count": null,
    "metadata": {},
-   "outputs": [],
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "np.float64(0.987101779159608)"
+      ]
+     },
+     "execution_count": 17,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "p\n",
+    "p_sucess = 1 - p\n",
+    "p_sucess\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 18,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "0.9013541807778029"
+      ]
+     },
+     "execution_count": 18,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "0.987101779159608**8"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 22,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "The probability of being overwhelmed in 8 hours is  0.9013541807778032\n"
+     ]
+    }
+   ],
    "source": [
-    "#code here"
+    "binom_dist = binom(8, p)\n",
+    "\n",
+    "print(\"The probability of being overwhelmed in 8 hours is \",binom_dist.pmf(0))"
    ]
   },
   {
@@ -157,10 +261,29 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 23,
    "metadata": {},
-   "outputs": [],
-   "source": []
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "np.float64(0.3934693402873666)"
+      ]
+     },
+     "execution_count": 23,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "from scipy.stats import expon\n",
+    "\n",
+    "\n",
+    "mu = 10\n",
+    "expon_dist = expon(scale = mu)\n",
+    "\n",
+    "expon_dist.cdf(5)"
+   ]
   },
   {
    "cell_type": "markdown",
@@ -173,10 +296,25 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 24,
    "metadata": {},
-   "outputs": [],
-   "source": []
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "np.float64(0.30695937991355843)"
+      ]
+     },
+     "execution_count": 24,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "mu = 15\n",
+    "expon_dist = expon(scale = 15)\n",
+    "expon_dist.cdf(5.5)"
+   ]
   },
   {
    "cell_type": "markdown",
@@ -196,11 +334,36 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 30,
    "metadata": {},
    "outputs": [],
    "source": [
-    "#code here"
+    "from scipy.stats import norm\n",
+    "\n",
+    "loc = 150\n",
+    "scale = 10\n",
+    "\n",
+    "norm_dist = norm(loc=loc, scale=scale)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 32,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "np.float64(0.6826894921370859)"
+      ]
+     },
+     "execution_count": 32,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "norm_dist.cdf(160) - norm_dist.cdf(140)"
    ]
   },
   {
@@ -219,17 +382,31 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 33,
    "metadata": {},
-   "outputs": [],
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "np.float64(0.4511883639059735)"
+      ]
+     },
+     "execution_count": 33,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
    "source": [
-    "#code here"
+    "mu = 50\n",
+    "\n",
+    "expon_dist = expon(scale=mu)\n",
+    "expon_dist.cdf(30)"
    ]
   }
  ],
  "metadata": {
   "kernelspec": {
-   "display_name": "Python 3",
+   "display_name": "base",
    "language": "python",
    "name": "python3"
   },
@@ -243,7 +420,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.10.9"
+   "version": "3.13.9"
   }
  },
  "nbformat": 4,