The probability distribution of a Poisson random variable provides a good model for data that represent the number of occurrences of a specified event in a given unit of time or space.

Poisson Random Variable

A type of random variable that represents the number of events occurring in a fixed interval of time or space, under the condition that these events happen with a known constant mean rate and independently of the time since the last event.

Probability Distribution

A probability distribution is a statistical function that describes all the possible values and likelihoods that a random variable can take within a given range.

Occurrences

Occurrences refer to the instances or events of something happening or being present in a particular context or dataset.