In an M$/$M$/1$ queueing system, the arrival rate is $3$ customers per hour and the service rate is $6$ customers per hour.

a$.$ What is the utilization?

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

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

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

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

Note: Express the waiting time in hours, round your answer to $3$ decimal places.

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

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

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

Note: Express the waiting time in hours, round your answer to $3$ decimal places.