A single server queuing system has an arrival rate of $8$ customers per hour and service rate of $10$

customers per hour.

Required:

$($i$)$ The number of customers waiting in the queue.

$($ii$)$ Average amount of time a customer spends in the system

$($iii$)$ The utilization factor for this system

$($iv$)$ Probability of having $3$ customers in the system.

$($v$)$ Average number of customers in the system.