Wk Qu$.13-04$ In an M$/$M$/1$ queueing system...

In an $\frac{M}{M}$A queueing system, the arrival rate is $9$ customers per hour and the service rate is $13$ 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.

a$.$ What is the utilization?

Utilization

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

$\backslash$table$[[\backslash$table$[[$Number of$],[$customers$]],1\mathrm{.}471]]$

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

$\backslash$table$[[\backslash$table$[[$Waiting time$($in$],[$hours$)]],0\mathrm{.}163]]$

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

$\backslash$table$[[\backslash$table$[[$Number of$],[$customers$($queue$)]],0\mathrm{.}779]]$

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

$\backslash$table$[[$Waiting time$($queue$),0\mathrm{.}173]]$