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Poisson Distribution

1 min read

probability-theory

Definition

Poisson Distribution

A Poisson distribution models the number of times an event occurs in a fixed interval when events happen independently and with a constant average rate.

Probability Mass Function

It can be modelled using the pmf:

with , and being the expected count per interval.

Expected Value

The expected value is given by:

Variance

The variance is given by:

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