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Chance of Exact Poisson Event Count

Estimate chance of exactly k events when average rate constant.

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Chance of exactly k events

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Assume events independent and rate constant throughout one fixed time interval.

Formula

P(X=k)=e⁻λ λᵏ/k!

Estimate chance of exactly k events when average rate constant.

Example wey show the calculation

Events wey you expect on average λ
3
Number of events k
2
Chance of exactly k events
22.4041807655 %

Where e fit work and limits

Assume events independent and rate constant throughout one fixed time interval.

We check inputs for missing values and allowed ranges. Result wey pass the finite numeric range no go show. Rounding affect wetin display, while calculation use the model numeric precision.

Check your units and assumptions before you rely on result. Changing label no convert currency or physical unit.

Version of di formula: cc16cf1ecf05 · Example don get check:

Method

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