Eastern National Bank is considering opening a drive-through window for customer service. Management estimates that customers will arrive at the rate of 15 per hour. The teller who will staff the window can service customers at the rate of one every three minutes. Assuming Poisson arrivals and exponential service, find:
(a) Utilization of the teller.
(b) Average number in the waiting line.
(c) Average number in the system.
(d) Average waiting time in line.
(e) Average waiting time in the system, including service.