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The Poisson probability formula is shown to the right, where X is the number of...

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The Poisson probability formula is shown to the right, where X is the number of times the event occurs and ? is a parameter equal to the mean of X. This distribution is often used to model the frequency with which aspecified event occurs during a particular period of time.P(X=x) = eSuppose 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 ? = 3.6. Complete parts a through c.XXXXXa. 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.)12xX!

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