A single$-$server system has an arrival rate of $3$ customers per hour, and a service rate of $6$ customers per hour. Both rates ar distributed.

a$.$ What is the system utilization? $($Round your answer to $2$ decimals.$)$

$$

b$.$ What is the average number of customers waiting for service? $($Round your answer to $2$ decimals.$)$

$L_q$

customers

c$.$ What is the average time customers wait in line for service? $($Round your answer to $3$ decimals.$)$

$W_q$ hours