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home / study / questions and answers / math / statistics and probability / consider a poisson distribution with a mean of ... Your question has been answered! Rate it below. Let us know if you got a helpful answer. . Question -------------------------------------------------------------------------------- Consider a Poisson distribution with a mean of two occurrences per time period. a.Compute the probability of six occurrences in one time period (to 4 decimals).

Solution

Note that the probability of x successes out of n trials is          
          
P(x) = u^x e^(-u) / x!          
          
where          
          
u = the mean number of successes =    2      
          
x = the number of successes =    6      
          
Thus, the probability is          
          
P (    6   ) =    0.012029803 [ANSWER]