Problem 10-17 (Static) An office employs several clerks who create documents and has one operator who enters the document information in a computer system. The group creates documents at a rate of 25 per hour. The operator can enter the information with an average exponentially distributed time of two 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. Note: Round your answer to 1 decimal place. Utilization of the operator b. Calculate the average number of documents in the system. Average number of documents c. Calculate the average time in the system. Average time in the system % Probability minutes d. Calculate the probability of four or more documents being in the system. Note: Round your intermediate calculations to 3 decimal places and final answer to 1 decimal place.

College Algebra (MindTap Course List)
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ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Problem 10-17 (Static)
An office employs several clerks who create documents and has one operator who enters the document information in a computer
system. The group creates documents at a rate of 25 per hour. The operator can enter the information with an average exponentially
distributed time of two 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.
Note: Round your answer to 1 decimal place.
Utilization of the operator
b. Calculate the average number of documents in the system.
Average number of documents
c. Calculate the average time in the system.
Average time in the system
%
Probability
minutes
d. Calculate the probability of four or more documents being in the system.
Note: Round your intermediate calculations to 3 decimal places and final answer to 1 decimal place.
Transcribed Image Text:Problem 10-17 (Static) An office employs several clerks who create documents and has one operator who enters the document information in a computer system. The group creates documents at a rate of 25 per hour. The operator can enter the information with an average exponentially distributed time of two 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. Note: Round your answer to 1 decimal place. Utilization of the operator b. Calculate the average number of documents in the system. Average number of documents c. Calculate the average time in the system. Average time in the system % Probability minutes d. Calculate the probability of four or more documents being in the system. Note: Round your intermediate calculations to 3 decimal places and final answer to 1 decimal place.
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