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Lab Solved #461

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176 changes: 150 additions & 26 deletions lab-intro-probability.ipynb
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Original file line number Diff line number Diff line change
Expand Up @@ -38,11 +38,28 @@
},
{
"cell_type": "code",
"execution_count": null,
"execution_count": 6,
"metadata": {},
"outputs": [],
"outputs": [
{
"data": {
"text/plain": [
"np.float64(0.8844772466215431)"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#code here"
"from scipy.stats import binom\n",
"n = 460 \n",
"p = 0.97\n",
"\n",
"binom_dist = binom(n,p)\n",
"\n",
"binom_dist.cdf(450)"
]
},
{
Expand Down Expand Up @@ -72,11 +89,27 @@
},
{
"cell_type": "code",
"execution_count": 5,
"execution_count": 9,
"metadata": {},
"outputs": [],
"outputs": [
{
"data": {
"text/plain": [
"np.float64(0.49)"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#code here"
"from scipy.stats import geom\n",
"p = 0.3\n",
"geom_dist = geom(p)\n",
"\n",
"1 - geom_dist.cdf(2)\n",
"\n"
]
},
{
Expand Down Expand Up @@ -107,11 +140,24 @@
},
{
"cell_type": "code",
"execution_count": 6,
"execution_count": 13,
"metadata": {},
"outputs": [],
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.01289822084039205\n"
]
}
],
"source": [
"#code here"
"from scipy.stats import poisson\n",
"\n",
"mu = 500\n",
"poisson_dist = poisson(mu)\n",
"probability = 1 - poisson_dist.cdf(550)\n",
"print(probability)"
]
},
{
Expand All @@ -123,11 +169,21 @@
},
{
"cell_type": "code",
"execution_count": 7,
"execution_count": 15,
"metadata": {},
"outputs": [],
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.2677043869515713\n"
]
}
],
"source": [
"#code here"
"binom_dist = binom(24, probability)\n",
"probability_day = 1 - binom_dist.pmf(0)\n",
"print(probability_day)"
]
},
{
Expand Down Expand Up @@ -157,10 +213,28 @@
},
{
"cell_type": "code",
"execution_count": null,
"execution_count": 17,
"metadata": {},
"outputs": [],
"source": []
"outputs": [
{
"data": {
"text/plain": [
"np.float64(0.3934693402873666)"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from scipy.stats import expon\n",
"\n",
"mu = 10 \n",
"expon_dist = expon(scale = mu)\n",
"\n",
"expon_dist.cdf(5)"
]
},
{
"cell_type": "markdown",
Expand All @@ -173,10 +247,24 @@
},
{
"cell_type": "code",
"execution_count": null,
"execution_count": 20,
"metadata": {},
"outputs": [],
"source": []
"outputs": [
{
"data": {
"text/plain": [
"np.float64(0.2231301601484298)"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"prob_break = 1 - expon_dist.cdf(15)\n",
"prob_break"
]
},
{
"cell_type": "markdown",
Expand All @@ -196,11 +284,27 @@
},
{
"cell_type": "code",
"execution_count": null,
"execution_count": 24,
"metadata": {},
"outputs": [],
"outputs": [
{
"data": {
"text/plain": [
"np.float64(0.6826894921370859)"
]
},
"execution_count": 24,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#code here"
"from scipy.stats import norm \n",
"loc = 150\n",
"scale = 10\n",
"\n",
"norm_dist = norm(loc=loc, scale = scale)\n",
"norm_dist.cdf(160) - norm_dist.cdf(140) \n"
]
},
{
Expand All @@ -219,17 +323,37 @@
},
{
"cell_type": "code",
"execution_count": null,
"execution_count": 28,
"metadata": {},
"outputs": [],
"outputs": [
{
"data": {
"text/plain": [
"np.float64(0.4511883639059735)"
]
},
"execution_count": 28,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#code here"
"scale = 50\n",
"expon_dist = expon(scale=scale)\n",
"expon_dist.cdf(30)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"display_name": "base",
"language": "python",
"name": "python3"
},
Expand All @@ -243,7 +367,7 @@
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.10.9"
"version": "3.13.9"
}
},
"nbformat": 4,
Expand Down