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Students arrive at the Administrative Services Office at an average of one every 6 minutes, and...

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Operations Management

Students arrive at the Administrative Services Office at anaverage of one every 6 minutes, and their requests take on average5 minutes to be processed. The service counter is staffed by onlyone clerk, Judy Gumshoes, who works eight hours per day. AssumePoisson arrivals and exponential service times.

a. What percentage of time is Judy idle?

b. How much time, on average, does a student spend waiting inline?

c. How long is the (waiting) line on average?

d. What is the probability that an arriving student (just beforeentering the Administrative Services Office) will find at least oneother student waiting in line?

Answer & Explanation Solved by verified expert
3.7 Ratings (398 Votes)
The arrival rate is 1 every 6 minutes or 10 per hour TheService time is 5 minutes or 605 12 per hourHence 10 and 12a Percentage of time is Judy idle    See Answer
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