Movies Tonight is a typical video and DVD movie rental outlet for home-viewing customers. During the weeknight evenings, customers arrive at Movie Nights at an average 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 average time a customer waits for service to begin? Alternatively, what is the average wait time in the queue. Convert your answer into seconds.
B. What is the probability that an arriving customer will have to wait for service?