Poisson Distribution Calculator

Poisson probability calculator: P(X = k), P(X ≤ k) and P(X ≥ k) for events occurring at average rate λ.

Results

P(X = k)—
P(X ≤ k)—
P(X ≥ k)—

How to use the Poisson Distribution Calculator

  1. Enter or select: Average rate λ, Number of events k.
  2. The results (P(X = k), P(X ≤ k), P(X ≥ k)) are calculated instantly as you type.
  3. Use “Copy link” to share the calculation with the same input values.

Formula

  • P(X = k) = λᵏ e^(−λ) / k!