Poisson Distribution Calculator
Calculate Poisson probabilities for rare events. Find cumulative probabilities and distribution properties.
Poisson Probability Calculator

Expected number of occurrences

Number of events to calculate

Estimate lambda from Data
About Poisson Distribution

The Poisson distribution models the probability of a given number of events occurring in a fixed interval of time or space.

Formula: P(X = k) = (lambda^k x e^(-lambda)) / k!

Key Properties:

  • Mean = Variance = lambda
  • Events are independent
  • Rate is constant

Examples: Number of calls to a call center per hour, number of defects in a product, number of accidents per day.

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