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Students Arrive Randomly at the Help Desk of the Computer

question 13

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Students arrive randomly at the help desk of the computer lab. There is only one service agent, and the time required for inquiry varies from student to student. Arrival rates have been found to follow the Poisson distribution, and the service times follow the negative exponential distribution. The average arrival rate is 12 students per hour, and the average service rate is 20 students per hour. What is the utilization factor?


Definitions:

Pneumonia

An infectious respiratory condition characterized by the inflammation of the air sacs (alveoli) in one or both lungs, often filled with fluid or pus.

Outbreaks

The occurrence of cases of a particular disease in a short period of time, typically in a concentrated area.

Brachiocephalic Vein

A major vein in the upper chest that forms from the joining of the jugular and subclavian veins and is involved in transporting blood back to the heart.

Basilic Vein

A large vein located on the inner side of the bicep, often used for intravenous injections, blood draws, or the insertion of catheters.

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