One field representative services five customers for a computer manufacturer. Customers request assistance at an average $($Poisson$-$distributed$)$ rate of once every four workdays. The field representative can handle an average $($Poisson$-$distributed$)$ of six call per day. Refer to the Table$18-6$ for D and F values.

a$.$ The expected number of customers waiting. $($Round the final answer to $3$ decimal places.$)$

Waiting customers

b$.$ The average length of time customers must wait from the initial request for service until the service has been completed. $($Round the final answer to $2$ decimal places.$)$

Average time

days

c$.$ The percentage of time the service rep will be idle, i$.$e$.,$ the probability that a customer will not have to wait. $($Round the final answer to $1$ decimal place.$)$

Idle percentage

$\%$

d$.$ By how much would your answer to part a be reduced if a second field rep were added? $($Round the final answer to $3$ decimal places.$)$

fewer customers will be waiting on average.