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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?

Short Answer

Expert verified

Service is a business viewpoint; administration organizations give a movement or the presentation of an undertaking with a business reason. This undertaking is coordinated to help a business or person in subjects such as counseling, book-keeping, transportation, cleaning, cordiality, voyaging, or support.

Step by step solution

01

Administrative service

The Administrativeservice is a better support unit whose primary goal is to handle the business and monetary parts of the plan for the company’s management.

02

The percentage of time in Judy idle is-

Where p is the percentage of time the clerk is sitting idle.

is the time taken to process a request

The difference between the students’ arrival

Percentage of time the clerk is sitting idle

Percentage of time the clerk is sitting idle

Therefore, the clerk is sitting idle for 33.33% of her time.

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