You are the manager of a local bank where three tellers provide services to customers. On? average, each teller takes three minutes to serve a customer. Customers? arrive, on? average, at a rate of 40 per hour. Having recently received complaints from some customers that they waited a long time before being? served, your boss asks you to evaluate the service system.? Specifically, you must provide answers to the following? questions:
a. The average utilization of the? three-teller service system is ρ=.
?(Enter your response rounded to four decimal places.?)
b. The probability that no customers are being served by a teller or are waiting in line is P0=
?(Enter your response rounded to four decimal places.?)
Please show work