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225 changes: 201 additions & 24 deletions lab-intro-probability.ipynb
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Original file line number Diff line number Diff line change
Expand Up @@ -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)"
]
},
{
Expand Down Expand Up @@ -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"
]
},
{
Expand Down Expand Up @@ -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"
]
},
{
Expand All @@ -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))"
]
},
{
Expand Down Expand Up @@ -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",
Expand All @@ -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",
Expand All @@ -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)"
]
},
{
Expand All @@ -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"
},
Expand All @@ -243,7 +420,7 @@
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.10.9"
"version": "3.13.9"
}
},
"nbformat": 4,
Expand Down