Skip to content

Solved lab #480

New issue

Have a question about this project? Sign up for a free GitHub account to open an issue and contact its maintainers and the community.

Sign up for GitHub

By clicking “Sign up for GitHub”, you agree to our terms of service and privacy statement. We’ll occasionally send you account related emails.

Already on GitHub? Sign in to your account

Open
BMAS30 wants to merge 1 commit into
base: main
Choose a base branch
from
Open

Solved lab #480

Changes from all commits
Commits
Show all changes
1 commit
Select commit
File filter

Filter by extension

Filter by extension
Conversations
Failed to load comments.
Loading
Jump to
Jump to file
Failed to load files.
Loading
Diff view
Diff view
164 changes: 140 additions & 24 deletions lab-intro-probability.ipynb
View file
Open in desktop
Original file line number Diff line number Diff line change
Expand Up @@ -38,11 +38,26 @@
},
{
"cell_type": "code",
"execution_count": null,
"execution_count": 1,
"metadata": {},
"outputs": [],
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.8844772466215431\n"
]
}
],
"source": [
"#code here"
"from scipy.stats import binom\n",
"\n",
"n = 460\n",
"p = 0.97\n",
"\n",
"prob = binom.cdf(450, n, p)\n",
"\n",
"print(prob)"
]
},
{
Expand Down Expand Up @@ -72,11 +87,26 @@
},
{
"cell_type": "code",
"execution_count": 5,
"execution_count": 2,
"metadata": {},
"outputs": [],
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.49\n"
]
}
],
"source": [
"#code here"
"from scipy.stats import geom\n",
"\n",
"p = 0.3\n",
"\n",
"# P(X >= 3) = 1 - P(X <= 2)\n",
"prob = 1 - geom.cdf(2, p)\n",
"\n",
"print(prob)"
]
},
{
Expand Down Expand Up @@ -107,11 +137,26 @@
},
{
"cell_type": "code",
"execution_count": 6,
"execution_count": 3,
"metadata": {},
"outputs": [],
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.01289822084039205\n"
]
}
],
"source": [
"#code here"
"from scipy.stats import poisson\n",
"\n",
"lam = 500\n",
"\n",
"# P(X > 550) = 1 - P(X ≤ 550)\n",
"prob = 1 - poisson.cdf(550, lam)\n",
"\n",
"print(prob)"
]
},
{
Expand Down Expand Up @@ -157,10 +202,27 @@
},
{
"cell_type": "code",
"execution_count": null,
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": []
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.3934693402873666\n"
]
}
],
"source": [
"import numpy as np\n",
"\n",
"lam = 1/10\n",
"t = 5\n",
"\n",
"prob = 1 - np.exp(-lam * t)\n",
"\n",
"print(prob)"
]
},
{
"cell_type": "markdown",
Expand All @@ -173,10 +235,27 @@
},
{
"cell_type": "code",
"execution_count": null,
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": []
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.22313016014842982\n"
]
}
],
"source": [
"import numpy as np\n",
"\n",
"lam = 1/10 \n",
"t = 15\n",
"\n",
"prob = np.exp(-lam * t)\n",
"\n",
"print(prob)"
]
},
{
"cell_type": "markdown",
Expand All @@ -196,11 +275,26 @@
},
{
"cell_type": "code",
"execution_count": null,
"execution_count": 8,
"metadata": {},
"outputs": [],
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.6826894921370859\n"
]
}
],
"source": [
"#code here"
"from scipy.stats import norm\n",
"\n",
"mu = 150\n",
"sigma = 10\n",
"\n",
"prob = norm.cdf(160, mu, sigma) - norm.cdf(140, mu, sigma)\n",
"\n",
"print(prob)"
]
},
{
Expand All @@ -219,17 +313,39 @@
},
{
"cell_type": "code",
"execution_count": null,
"execution_count": 9,
"metadata": {},
"outputs": [],
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.4511883639059735\n"
]
}
],
"source": [
"#code here"
"import numpy as np\n",
"\n",
"lam = 1/50 \n",
"t = 30\n",
"\n",
"prob = 1 - np.exp(-lam * t)\n",
"\n",
"print(prob)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
Expand All @@ -243,9 +359,9 @@
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.10.9"
"version": "3.13.9"
}
},
"nbformat": 4,
"nbformat_minor": 2
"nbformat_minor": 4
}