In an M$/$M$/1$ queueing system, the arrival rate is $4$ customers per hour and the service rate is $7$ customers per hour. If the service process is automated $($resulting in no variation in service times but the same service rate$),$ what will be the resulting performance measurements?

Note: Round your answers to $3$ decimal places.

What is the utilization?

What is the expected number of customers in the system $($L$)?$

What is the expected waiting time $($in hours$)$ for the system $($W$)?$

What is the expected number of customers in the queue$($Lq$)?$

What is the expected waiting time $($in hours$)$ in the queue$($Wq$)?$