Movies Tonight is a typical video and DVD movie rental outlet for home-viewing customers. During the weeknight evenings, customers arrive at Movies Tonight with an arrival rate of 1.25 customers per minute. The checkout clerk has a service rate of 2 customers per minute. Assume Poisson arrivals and exponential service times.
a. What is the probability that no customers are in the system?
b. What is the average number of customers waiting for service?
c. What is the average time a customer waits for service to begin?
d. What is the probability that an arriving customer will have to wait for service?
e. Do the operating characteristics indicate that the one-clerk checkout system provides an acceptable level of service?