Hi Class - Please address the question below.

The local Division of Motor Vehicles (DMV) is concerned with

its waiting line system. Currently, the DMV uses a single-server,

single-line, single-phase system when processing license renewals. Based on historical evidence, the average number of

customers arriving per hour is 9 and is described by a Poisson

distribution. The service rate is 12 customers per hour with the

service times following an exponential distribution. The customers are patient and come from an infinite population. The

manager of the DMV would like you to calculate the operational characteristics of the waiting line system.

(a) What is the average system utilization?

(b) What is the average number of customers in the system?

(c) What is the average number of customers waiting in line?

(d) What is the average time a customer spends in the system?

(e) What is the average time a customer spends waiting in line?

please answer by typing no hand written.