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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:
4 CHAPTER 4. POISSON MODELS FOR COUNT DATA. Then the probability distribution of the number of occurrences of the event. in a xed time interval is Poisson with mean = t, where is the rate. of occurrence of the event per unit of time and tis the length of the time. interval.