Sharp discounts Wholesale Club has two service desks, one at each entrance of the store. Customers arrive at each service desk at an average of one every six minutes with a Poisson distribtion. Te service rate at each service desk is four minutes per customer in an exponentially distributed fashion.
For a single service desk (both identical), answer the following questions:
a. what is the utilization rate of the service clerk?
b. what is the average length of the waiting line?
c. what is the average time the a person must spend at the service desk (waiting plus service?
d. what is he probability that when you arrive there will be three or more people ahead of you?