Problem 7-15 Students arrive at the Administrative Services Office at an average of one every 15 minutes, and their requests take on average 10 minutes to be processed. The service counter is staffed by only one clerk, Judy Gumshoes, who works eight hours per day. Assume Poisson arrivals and exponential service times. a. What percentage of time is Judy idle? (Round your answer to 1 decimal place.) Percentage of time % b. How much time, on average, does a student spend waiting in line? (Do not round intermediate calculations. Round your answer to the nearest whole number.) Average time minutes c. How long is the (waiting) line on average? (Round your answer to 2 decimal places.) Average length of the waiting line customers d. What is the probability that an arriving student (just before entering the Administrative Services Office) will find at least one other student waiting in line? (Do not round the intermediate calculations. Round your answer to 2 decimal places.) Probability %

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Problem 7-15
Students arrive at the Administrative Services Office at an average of one every 15 minutes, and their requests take on average 10
minutes to be processed. The service counter is staffed by only one cierk, Judy Gumshoes, who works eight hours per day. Assume
Poisson arrivals and exponential service times.
a. What percentage of time is Judy idle? (Round your answer to 1 decimal place.)
Percentage of time
%
b. How much time, on average, does a student spend waiting in line? (Do not round intermediate calculations. Round your answer to
the nearest whole number.)
Average time
minutes
c. How long is the (waiting) line on average? (Round your answer to 2 decimal places.)
Average length of the waiting line
customers
d. What is the probability that an arriving student (just before entering the Administrative Services Office) will find at least one other
student waiting in line? (Do not round the intermediate calculations. Round your answer to 2 decimal places.)
Probability
References
eBook & Resources
Transcribed Image Text:Problem 7-15 Students arrive at the Administrative Services Office at an average of one every 15 minutes, and their requests take on average 10 minutes to be processed. The service counter is staffed by only one cierk, Judy Gumshoes, who works eight hours per day. Assume Poisson arrivals and exponential service times. a. What percentage of time is Judy idle? (Round your answer to 1 decimal place.) Percentage of time % b. How much time, on average, does a student spend waiting in line? (Do not round intermediate calculations. Round your answer to the nearest whole number.) Average time minutes c. How long is the (waiting) line on average? (Round your answer to 2 decimal places.) Average length of the waiting line customers d. What is the probability that an arriving student (just before entering the Administrative Services Office) will find at least one other student waiting in line? (Do not round the intermediate calculations. Round your answer to 2 decimal places.) Probability References eBook & Resources
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