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What is it: Poission Probability Distribution is a measurement that is used to calculate the probability that a certain number of events will occur over a specific period of time. The Poisson Distribution is a one-parameter discrete distribution that takes nonnegative integer values. The parameter, λ, is both the mean and the variance of the distribution. Thus, as the size of the numbers in a particular sample of Poisson random numbers gets larger, so does the variability of the numbers. The Poisson distribution is the limiting case of a binomial distribution where N approaches infinity and p goes to zero while Np = λ.
Why use it: Poission Distribution is appropriate for applications that involve counting the number of times a random event occurs in a given amount of time, distance, area, etc.
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