You are the manager of a local bank where three tellers provide sendees to customers. On average, each teller takes 3 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?