Problem $18-1($Static$)$

Repair calls are handled by one repairman at a photocopy shop. Repair time, including travel time, is exponentially distributed, with a mean of two hours per call. Requests for copier repairs come in at a mean rate of three per eight$-$hour day $($assume Poisson$).$ Determine the following:

a$.$ The average number of customers awaiting repairs. $($Round your answer to $2$ decimal places.$)$

Average number of customers

b$.$ System utilization.

System utilization

c$.$ The amount of time during an eight$-$hour day that the repairman is not out on a call.

Amount of time

hours

d$.$ The probability of two or more customers in the system. $($Do not round intermediate calculations. Round your answer to $4$ decimal places.$)$

Probability