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Poisson distribution models the number of events in a fixed interval when events occur independently at a constant average rate. Used for rare event probability.

Формула

P(X = k) = (λᵏ × e⁻λ) / k! where λ is the average rate

Водич корак по корак

1Enter λ (average number of events)
2Enter k (number of events of interest)
3Calculate using the Poisson formula

Worked Examples

Инпут

λ = 3, k = 2

Резултат

P(X = 2) ≈ 0.224

(3² × e⁻³) / 2! ≈ 0.224

Common Mistakes to Avoid

✕Confusing λ with the event value
✕Using Poisson when binomial is more appropriate

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