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📊 Poisson Distribution Calculator

Calculate Poisson probabilities P(X=k) for a given average rate (lambda).

What is the Poisson Distribution?

The Poisson distribution models the probability of a given number of events occurring in a fixed interval, given a known average rate. The formula is P(X=k) = e^(-λ) · λ^k / k!, where λ is the average rate and k is the number of events. Both the mean and variance of a Poisson distribution equal λ.

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