Poisson Distribution Calculator

Poisson Distribution Calculator

Average rate (λ): Maximum k to display:

Calculate: Exact probability (P(X = k)) Cumulative probability (P(X ≤ k)) Greater than (P(X > k)) k value:

Probability:

Poisson Distribution Plot

Probability Table

How to Use This Tool:

1. Enter the average rate (λ) - expected number of events
2. Set maximum k value to display
3. Click "Calculate & Plot" to see the distribution
4. For specific probabilities:
   • Select calculation type
   • Enter k value
   • Click "Calculate Probability"

Poisson Distribution models the probability of a given number of events occurring in a fixed interval.