Poisson Distribution Calculator
Calculate Poisson probabilities for events that occur at a known average rate. Enter the average rate (lambda) and desired number of events to find exact and cumulative probabilities.
The Poisson distribution models the probability of a number of events occurring in a fixed interval when events happen at a constant average rate independently.
PMF: P(X = k) = (λ^k × e^(-λ)) / k!
Key Properties
- Mean = λ
- Variance = λ
- Standard deviation = √λ
Common Applications
- Calls to a call center per hour
- Website visits per minute
- Defects per unit of product
- Accidents per month