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. (Round your answer to 2 decimal places.)
Utilization of the operator in %:
b. Calculate the average number of documents in the system. (Round your answer to 1 decimal place.)
Average number of documents:
c. Calculate the average time in the system. (Round your answer to 1 decimal place.)
Average time in system in minutes:
d. Calculate the probability of four or more documents being in the system. (Round your intermediate calculations to 3 decimal places and final answer to 1 decimal place.
Probability in %: