Keuka Park Savings and Loan currently has one drive-in teller window. Cars arrive at a mean rate of 10 per hour. The mean service rate is 12 cars per hour.
a. What is the probability that the service facility will be idle?
b. If you were to drive up to the facility, how many cars would you expect to see waiting and being serviced?
c. What is the average time waiting for service?
d. What is the probability an arriving car will have to wait?
e. What is the probability that more than four vehicles are waiting for service?
f. As a potential customer of the system, would you be satisfied with these waiting-line characteristics? How do you think managers could go about assessing its customers' feelings about the current system?

Transcribed Image Text:

Single Server Queueing Model Lambda 10 Mu 12.00 Probability system is empty 0.17 Average number in queue4.17 Average number in system5.00 Average time in quee 0.42 Average waiting time in system 0.50 Probability arrival has to 0.83