Problem $18-1($Algo$)$

Repalr calls are handled by one repalrman at a photocopy shop. Repalr time, Including travel time, is exponentially distributed, with a

mean of $1\mathrm{.}6$ hours per call. Requests for copler repalrs come in at a mean rate of $21$ per elght$-$hour day $($assume Polsson$).$ Determine

the following:

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

Number of customers

b$.$ System utilization. $($Round your answer to $2$ decimal places.$)$

System utilization

$\%$

c$.$ The amount of time during an elght$-$hour day that the repalrman is not out on a call. $($Round your answer to $2$ decimal places.$)$

Amount of time

hours

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

places.$)$