A-level · Statistical distributions

The Poisson distributionExam-style questions

Modelling the number of random events in a fixed interval — when the Poisson model is valid, P(X = x) = e^{−λ}λ^x/x!, mean = variance = λ, scaling λ to the length of the interval, adding independent Poissons, and using Poisson as an approximation to the binomial when n is large and p is small.

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