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[lab-intro-to-prob] Yara Miranda #212

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306 changes: 290 additions & 16 deletions your-code/main.ipynb
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Original file line number Diff line number Diff line change
Expand Up @@ -19,12 +19,110 @@
},
{
"cell_type": "code",
"execution_count": null,
"execution_count": 1,
"metadata": {},
"outputs": [],
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.7999999999999999\n"
]
}
],
"source": [
"#𝑃(𝐴∪𝐵)=0.6\n",
"A = 0.3\n",
"B = 0.6\n",
"unionAB=A+B-0.1\n",
"print(unionAB)"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.16666666666666669\n"
]
}
],
"source": [
"#𝑃(𝐴∩𝐵𝐶)=0.2\n",
"\n",
"cond_AB=0.1/B\n",
"print(cond_AB)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.27999999999999997\n"
]
}
],
"source": [
"#𝑃(𝐴𝐶∩𝐵𝐶)=0.3\n",
"\n",
"AC=1-A\n",
"BC=1-B\n",
"AcnBc=AC*BC\n",
"print(AcnBc)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.9"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#𝑃((𝐴∩𝐵)𝐶)=0.9\n",
"1-0.1\n"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"'\\n𝑃(𝐴∪𝐵)=0.6 is false\\n𝑃(𝐴∩𝐵𝐶)=0.2 is false\\n𝑃(𝐴∩(𝐵∪𝐵𝐶))=0.4 is false\\n\\n'"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"\"\"\"\n",
"your solution here\n",
"𝑃(𝐴∪𝐵)=0.6 is false\n",
"𝑃(𝐴∩𝐵𝐶)=0.2 is false\n",
"𝑃(𝐴∩(𝐵∪𝐵𝐶))=0.4 is false\n",
"#𝑃(𝐴𝐶∩𝐵𝐶)=0.3 is false\n",
"\"\"\""
]
},
Expand All @@ -42,14 +140,114 @@
"**Hint**: Reposition means putting back the ball into the box after taking it out."
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.3333333333333333"
]
},
"execution_count": 25,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"W=10\n",
"R=12\n",
"B=8\n",
"S=sum([W,R,B])\n",
"W/S"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.36666666666666664"
]
},
"execution_count": 27,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"\n",
"W=9\n",
"R=11\n",
"B=6\n",
"\n",
"R/S"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"W=9\n",
"R=12\n",
"B=7\n",
"S=sum(W,R,B)\n",
"9/S"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.39285714285714285"
]
},
"execution_count": 28,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"W=10\n",
"R=11\n",
"B=7\n",
"S=sum([W,R,B])\n",
"R/S"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"'\\nyour solution here\\n'"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"\"\"\"\n",
"your solution here\n",
"#1. Taking a white ball out 0.33\n",
"#2. Taking a white ball out after taking a black ball out. 0.3\n",
"#3. Taking a red ball out after taking a black and a red ball out. 0.36\n",
"#4. Taking a red ball out after taking a black and a red ball out with reposition.0.39\n",
"\"\"\""
]
},
Expand All @@ -70,15 +268,51 @@
},
{
"cell_type": "code",
"execution_count": null,
"execution_count": 8,
"metadata": {},
"outputs": [],
"outputs": [
{
"data": {
"text/plain": [
"'\\nyour solution here\\n'"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"\"\"\"\n",
"your solution here\n",
"P(R|C)=0.5\n",
"C=0.4\n",
"R=0.1\n",
"|R n C| = (R|C) * (R)/(C)\n",
"the answer is 0.125\n",
"\n",
"\"\"\""
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.125"
]
},
"execution_count": 32,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"(0.5*0.1)/0.4"
]
},
{
"cell_type": "markdown",
"metadata": {},
Expand All @@ -102,28 +336,68 @@
},
{
"cell_type": "code",
"execution_count": null,
"execution_count": 40,
"metadata": {},
"outputs": [],
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The events of wanting more street lighting and being a man are independent.\n"
]
}
],
"source": [
"# your code here"
"import pandas as pd\n",
"\n",
"data = {'Gender':['Men', 'Women'],\n",
" 'Total': [480, 520],\n",
" 'Yes':[324, 351],\n",
" 'No':[156, 160]}\n",
"\n",
"survey=pd.DataFrame(data)\n",
"survey.set_index('Gender', inplace=True)\n",
"survey\n",
"\n",
"total_responses = survey['Total'].sum()\n",
"prob_A = survey['Yes'].sum() / total_responses\n",
"prob_B = survey.loc['Men', 'Total'] / total_responses\n",
"\n",
"prob_A_given_B = survey.loc['Men', 'Yes'] / survey.loc['Men', 'Total']\n",
"prob_A_given_B\n",
"\n",
"if prob_A_given_B == prob_A:\n",
" print(\"The events of wanting more street lighting and being a man are independent.\")\n",
"else:\n",
" print(\"The events of wanting more street lighting and being a man are not independent.\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"execution_count": 10,
"metadata": {},
"outputs": [],
"outputs": [
{
"data": {
"text/plain": [
"'\\nyour solution here\\n'"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"\"\"\"\n",
"your solution here\n",
"\"\"\"\"0.675 probability the person who answered is a man. \n",
"The events of wanting more street lighting and being a man are independent\n",
"\"\"\""
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
Expand All @@ -137,7 +411,7 @@
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.2"
"version": "3.11.5"
}
},
"nbformat": 4,
Expand Down