Quik Stop Service Stataion is a single$-$server queueing system fuel station with an infinite

calling population and a first$-$come, first$-$served queue discipline. According to a Poisson

distribution, customers arrive at a rate of $16$ customers per hour $(\backslash$lambda $),$ and the service rate

is $24$ customers per hour $().$ Calculate the following characteristics of the waiting line

system.

a$.$ The average utilization of the system

b$.$ The average number of customers in the system

c$.$ The average number of customers waiting in the line

d$.$ The average time a customer spends in the system

e$.$ The average time a customer spends waiting in the line

f$.$ The probability that no customers are in the queuing system

g$.$ The probability of having three customers in the system

$($