Poisson Distribution (PMF/CDF) — Notebook Template

Model counts with a Poisson rate λ: compute probabilities and cumulative probabilities for events.

stats poisson probability

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What this template does

This is a ready-to-run GetCalcMaster Notebook starter. Open it into Notebook, run once with defaults, then tweak inputs and keep your assumptions next to the math.

How to use it (recommended)

Open in Notebook.
Set λ (average rate) and k (event count).
Compute PMF and CDF.
Check that probabilities are between 0 and 1.
Record model assumptions (independence, constant rate).

Tip: When a result matters, verify it twice: a unit check + a second method (graph/estimate).

Preview (first cells)

This preview is for readability. The full template loads into Notebook when you click Open.

TEXT

# Poisson Distribution

Functions:
- `poissonpmf(k, λ)`
- `poissoncdf(k, λ)`

Interpretation: counts of events with average rate λ.

MATH

lambda = 3.2

MATH

k = 5

MATH

pmf = poissonpmf(k, lambda)

MATH

cdf = poissoncdf(k, lambda)

MATH

pmf