Problem $7-23($Static$)$

Customers enter the camera department of a store at an average rate of six per hour. The department is staffed by one employee, who takes an average of six minutes to serve each arrival. Assume this is a simple Poisson arrival, exponentially distributed service time situation. $($Use the Excel spreadsheet Queue Models.$)$

a$-1.$ As a casual observer, how many people would you expect to see in the camera department $($excluding the clerk$)?$

Note: Round your answer to $\backslash (\backslash$mathbf$\{2\}\backslash )$ decimal places.

Number of people

a$-2.$ How long would a customer expect to spend in the camera department $($total time$)?$

Note: Do not round intermediate calculations. Round your answer to the nearest whole number.

Average total time

b$.$ What is the utilization of the clerk?

Note: Do not round intermediate calculations. Round your answer to the nearest whole number.

Utilization

c$.$ What is the probability that there are more than two people in the camera department $($excluding the clerk$)?$

Note: Round your intermediate calculations to $3$ decimal places and final answer to $1$ decimal place.

Probability

d$.$ Another clerk has been hired for the camera department who also takes an average of six minutes to serve each arrival. How long would a customer expect to spend in the department now?

Note: Round your answer to $1$ decimal place.

Average total time