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 a specified event occurs during a particular period of time.P(X=x)=exx!Suppose that a hospital keeps records of emergency room traffic. These records reveal that the number of patients who arrive between 8 P.M. and 9 P.M. has a Poisson distribution with parameter =6.2. Complete parts a through c.

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 This distribution is often used to model the frequency with which a specified event occurs during a particular period of time. pose that a hospital keeps records of emergency room traffic. These records reveal that the number of patients who arrive between 8 P.M. and 9 P.M, has a son distribution with parameter > =6.2. Complete parts a through c. etermine the probability that, on a given day, the number of patients who arrive at the emergency room between 8 P.M. and 9 P.M. is exactly 4. P(X =4)= (Round to four decimal places as needed.)