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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 21 per hour. The operator can enter the information with average exponentially distributed time of 2.5 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 %
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 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 %
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