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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 is an extension of binomial distribution and can be used as its approximation. One of its unusual properties is that its standard deviation equals the square root of the mean. Discovered in 1837 by the French mathematician Simeon-SimÃ©on Davis (poisson-1781). 1840