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[lab-intro-prob] Carlos Silva #199

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54 changes: 40 additions & 14 deletions your-code/main.ipynb
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Original file line number Diff line number Diff line change
Expand Up @@ -23,9 +23,8 @@
"metadata": {},
"outputs": [],
"source": [
"\"\"\"\n",
"your solution here\n",
"\"\"\""
"# 1 . 𝑃(𝐴∪𝐵) = 𝑃(𝐴) + 𝑃(𝐵) - 𝑃(𝐴∩𝐵) = 0.3 + 0.6 - 0.1 = 0.8\n",
"#2. 𝑃(𝐴𝐶∩𝐵𝐶) = 1 - 𝑃(𝐴∪𝐵) = 1 - 0.8 = 0.2"
]
},
{
Expand All @@ -48,9 +47,10 @@
"metadata": {},
"outputs": [],
"source": [
"\"\"\"\n",
"your solution here\n",
"\"\"\""
"# 10/30 = 0.33\n",
"#9/29= 0.31\n",
"#11/28=0.39\n",
"#12/30=0.4"
]
},
{
Expand All @@ -74,9 +74,7 @@
"metadata": {},
"outputs": [],
"source": [
"\"\"\"\n",
"your solution here\n",
"\"\"\""
"#Picnic = (0.50 * 0.10) / 0.40 = 0.125"
]
},
{
Expand All @@ -102,11 +100,39 @@
},
{
"cell_type": "code",
"execution_count": null,
"execution_count": 99,
"metadata": {},
"outputs": [],
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Probability of answering 'yes': 0.675\n",
"Probability of being a man: 0.48\n",
"Conditional probability of answering 'yes' given being a man: 0.675\n",
"The events are independent\n"
]
}
],
"source": [
"# your code here"
"total_men = 480\n",
"yes_men = 324\n",
"total_women = 520\n",
"yes_women = 351\n",
"total_responses = total_men + total_women\n",
"total_yes = yes_men + yes_women\n",
"P_yes = total_yes / total_responses\n",
"P_men = total_men / total_responses\n",
"P_yes_given_men = yes_men / total_men\n",
"if abs(P_yes - P_yes_given_men) < 0.01: \n",
" independence = \"independent\"\n",
"else:\n",
" independence = \"dependent\"\n",
"\n",
"print(\"Probability of answering 'yes':\", P_yes)\n",
"print(\"Probability of being a man:\", P_men)\n",
"print(\"Conditional probability of answering 'yes' given being a man:\", P_yes_given_men)\n",
"print(\"The events are\", independence)"
]
},
{
Expand All @@ -123,7 +149,7 @@
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
Expand All @@ -137,7 +163,7 @@
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.2"
"version": "3.10.9"
}
},
"nbformat": 4,
Expand Down