Statistics Dictionary

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Poisson Probability

Poisson probability refers to the probability that exactly x successes occur in a Poisson experiment , when the mean number of successes is m. This probability is denoted by P(x; m).

The formula for calculating a Poisson probability is:

Poisson Formula. Suppose we conduct a Poisson experiment, in which the average number of successes within a given region is m. Then, the Poisson probability is:

P(x; m) = (e-m) (mx) / x!

where x is the actual number of successes that result from the experiment, and e is approximately equal to 2.71828.

See also:   Statistics Tutorial: Poisson Distribution | Poisson Calculator