Problem $18-5($Algo$)$

A small town with one hospital has $2$ ambulances to supply ambulance service. Requests for ambulances during nonholiday weekends

average $0\mathrm{.}44$ per hour and tend to be Poisson$-$distributed. Travel and assistance time averages $1\mathrm{.}20$ hours per call and follows an

exponential distribution Use Table $18\mathrm{.}4.$

a$.$ Find system utilization. $($Round your answer to the nearest whole percent.$)$

System utilization

$\%$

b$.$ Find the average number of customers waiting. $($Round your answer to $3$ decimal places.$)$

Average number of customers

c$.$ Find the average time customers wait for an ambulance. $($Round your answer to $3$ decimal places.$)$