Poisson Distribution Calculator

Find P(exactly k events) given an average rate.

P(X = k) (%) 22.404

Formula: P = e^(−λ) λᵏ ÷ k!

Step-by-step with your numbers:

1. Values used:

2. Average rate (λ) = 3

3. Events (k) = 2

5. P(X = k) = 22.404%

Did we solve your problem today?

The Poisson distribution models how many events occur in a fixed interval at a known average rate.

The math behind it

P(X=k) = e^(−λ) × λᵏ ÷ k!, where λ is the average number of events.

λ 3, k 2 → 22.4%.

Use?

Calls per hour, defects per batch, arrivals per minute.