Evaluate the waiting line properties of the following customer service operation. On the basis of past data it has been estimated that customers arrive according to a Poisson process with an average inter-arrival time of 30 minutes. The time to service for a customer is exponentially distributed with a mean of 15 minutes.
What is the total time in the system for this service?
Determine the average number of people waiting for the service.
If the server worked an 8 hour day, how many hours on average, would the server be busy?