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 50 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. What is the average utilization of the three-teller service system?

b. What is the probability that no customers are being served by a teller or are waiting in line?

c. What is the average number of customers waiting in line?

d. On average, how long does a customer wait in line before being served?

e. On average, how many customers would be at a teller’s station and in line?