The Poisson probability formula is shown to the right, where

Last updated: 7/15/2022

The Poisson probability formula is shown to the right, where X is the number of times the event occurs and λ is a parameter equal to the mean of X. This distribution is often used to model the frequency with which a specified event occurs during a particular period of time. P(X=x) = e Suppose that a hospital keeps records of emergency room traffic. These records reveal that the number of patients who arrive between 4 P.M. and 5 P.M. has a Poisson distribution with parameter λ = 3.6. Complete parts a through c. XXXXX a. Determine the probability that, on a given day, the number of patients who arrive at the emergency room between 4 P.M. and 5 P.M. is exactly 5. P(X= 5) = (Round to four decimal places as needed.) 12x X!