Customers enter the camera department of a store at the average rate of eight per hour. The department is staffed by one employee, who takes an average of 5.0 minutes to serve each arrival. Assume this is a simple Poisson arrival, exponentially distributed service time situation. Use Exhibit 7.12.
a-1. As a casual observer, how many people would you expect to see in the camera department (excluding the clerk)? (Round your answer to 2 decimal places.)
Number of people
a-2. How long would a customer expect to spend in the camera department (total time)? (Do not round intermediate calculations. Round your answer to 1 decimal place.)
Average total time minutes
b. What is the utilization of the clerk? (Do not round intermediate calculations. Round your answer to 1 decimal place.)
Utilization %
c. What is the probability that there are more than two people in the camera department (excluding the clerk)? (Do not round intermediate calculations. Round your answer to 1 decimal place.)
Probability %
d. Another clerk has been hired for the camera department who also takes an average of 5.0 minutes to serve each arrival. How long would a customer expect to spend in the department now? (Do not round intermediate calculations. Round your answer to 1 decimal place. Use the closest value of λ/μ in Exhibit 7.12 when determining Lq (i.e., do not interpolate).)
Average total time minutes