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Poisson Distribution. A Poisson random variable is the number of successes that result from a Poisson experiment. The probability distribution of a Poisson random variable is called a Poisson distribution. Given the mean number of successes (Î¼) that occur in a specified region, we can compute the Poisson probability based on the following formula:
Poisson Distribution We assume the following.The random variable X denotes the number of successes inthe whole interval.is the mean number of successes in the interval.X has aPoisson Distributionwith parameter andP(X = k) = f(k) =e   k k!; k = 0;1;2;:::: The Poisson Distribution.