You're managing the camera department of a store near Yellowstone National Park. Customers arrive at your store at the rate of 8 per hour. You have one employee who takes an average of 6 minutes to serve each arrival. Assume this is a simple Poisson arrival, exponentially distribute service time situation.
a. As a casual observer, how many people would you expect to see in the camera department (not counting your employee? How long would a customer expect to spend in the camera department (total time)?
b. What is the utilization of your employee?
c. What is the probability of 3 people in the camera department (not counting your employee)?
d. You've brought another employee into the department who also takes an average of 6 minutes to serve each arrival. How long would a customer expect to spend in the department now?