Section B$/$Type$3-$QT

Problem Statement: A Bakery announced that costumers$\text{'}$ arrival rate to the shop is $16$ machine per hour in the form of Poisson distribution whereas service time of the Bakery's clerks is $3$ minutes.

$($a$)$ Determine the arrival and service rates

$($b$)$ Determine the average number of customers being served

$($c$)$ Determine the average number of customers in the system when the average number of customers in the queue is $3\mathrm{.}2.$

$($d$)$ Determine the system utilization