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Home/Mathematics/Statistics/Poisson Distribution Calculator
Math CalculatorStatistics

Poisson Distribution Calculator

Calculate Poisson distribution probabilities. The Poisson distribution models the number of events occurring in a fixed interval of time or space given a known average rate.

Updated 2025-01-153 min readCalzyra Math Team

Calculator

Enter your values below

CalculatorFree Tool

Enter the average number of events per interval

Enter the exact number of events

Formula & Methodology

How this calculator works

P(X = k) = (λᵏ · e⁻ˡ) / k!

The Poisson probability equals the average rate (λ) raised to the power of k, multiplied by e⁻ˡ, divided by k factorial (k!).

Frequently Asked Questions

Common questions about this calculator

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