A company has two service desks, one at each enterance of the store. Customers arrive at each service desk at an average of one every six minutes witth a Poisson distribution. The service rate at each service desk is four minutes in an exponentially distributed fashion. Use a single service desk (both idetical) for the following.
a. What is the utilization rate of the service desk?
b. What is the average length of the waiting line?
c. What is the average time that a person must spend at the service desk (waiting plus service)?
d. What is the probability that when you arrive there will be three or more people ahead of you?