Question 5Queuing

Use the M/M/1 model (using manual calculations) to determine the average wait time for customers for a driving test at the Registry of Motor Vehicles. Customers arrive at random and independent of one another at a rate of 2.5 per hour. Service times average 17 minutes per customer (exponentially distributed).

1. What is the average wait time in the queue?
2. What is the average number of customers in the queue?