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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 / normal: If X is a Poisson random variable with large mean and Y is a normal distribution with the same mean and variance as X, then for integers j and k, P(j â¤ X â¤ k) â P(j â 1/2 â¤ Y â¤ k + 1/2).