Please ONLY answer part "E)"

3. Goliath Regional Bank operates a drive-up teller window that allows customers to complete bank transactions without getting out of their cars. On weekday mornings, arrivals to the drive-up teller window occur at random, with an arrival rate of 36 customers per hour. A drive-up teller can process an average of 50 customers per hour. a) What is the mean or expected number of customers that will arrive in a 5-min period? b) What is the service rate in terms of customers per 5-min period? c) Assume that the Poisson distribution can be used to describe the arrival process. Use the arrival rate in part (a) and compute the probabilities that exactly 0,1 , and 2 customers will arrive during a 5 -min period. d) Delays are expected if more than 2 customers arrive during any 5-min period. What is the probability that delays will occur? e) What is the probability that service time will be more than 2 minutes