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Poisson Distribution
 

The Poisson distribution is a discrete probability distribution. It is used when the sample size is unbounded and it is not possible to specify the number of occurrences, but it is possible to specify the average number of occurrences:

Poisson equation

d number of occurrences
λ average number of occurrences

The Poisson distribution is often used in reliability engineering in the form:

Reliability equation

d number of occurrences
λ average number of occurrences per unit time
t time period of interest

Note that definition of 'λ ' has changed to the average number of occurrences per unit time.

 

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