Discuss the below:
Q: An office employs several clerks who originate documents and one operator who enters the document information in a computer system. The group originates documents at a rate of 19 per hour. The operator can enter the information with average exponentially distributed time of 3 minutes. Assume the population is infinite, arrivals are Poisson, and queue length is infinite with FCFS discipline.
a. Calculate the percentage utilization of the operator.
b. Calculate the average number of documents in the system.
c. Calculate the average time in the system.
d. Calculate the probability of four or more documents being in the system