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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:
The cdf of an exponential variable is F(x) = 1- $e^{-\lambda x}$. The parameter Î» of the exponential distribution represents the average number of events per unit time in the corresponding Poisson Process. Negative exponential distribution is the other name by which exponential distributions are known.