Customers enter the camera department of a store at an averagerate of five per hour. The department is staffed by one employee,who takes an average of 8.0 minutes to serve each arrival. Assumethis is a simple Poisson arrival, exponentially distributed servicetime situation. (Use the Excel spreadsheet Queue Models.)
a-1. As a casual observer, how many people wouldyou expect to see in the camera department (excluding the clerk)?(Round your answer to 2 decimal places.)
a-2. How long would a customer expect to spendin the camera department (total time)? (Do not roundintermediate calculations. Round your answer to 1 decimalplace.)
b. What is the utilization of the clerk?(Do not round intermediate calculations. Round your answerto 1 decimal place.)
c. What is the probability that there are morethan two people in the camera department (excluding theclerk)?(Do not round intermediate calculations. Round youranswer to 1 decimal place.)
d. Another clerk has been hired for the cameradepartment who also takes an average of 8.0 minutes to serve eacharrival. How long would a customer expect to spend in thedepartment now? (Do not round intermediate calculations.Round your answer to 1 decimal place.)