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 41 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
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
41
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:
- The average utilization of the three-teller service system is
ρ=enter your response here.
(Enter
your response rounded to four decimal
places.)
a. The probability that no customers are being served by a teller or are waiting in line is:
b. What is the average number of customers waiting in line?
c. On average, how long does a customer wait in line before being served?
d. On average, how many customers would be in the system (i.e., at the teller’s station and in line)?
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