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Students Arrive Randomly at the Help Desk of the Computer

question 85

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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 average service time for this problem?

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Definitions:

Collective Agreement Terms

Provisions and conditions agreed upon in a contract negotiated between employers and a group of employees, usually represented by a trade union.

Union Representative

An individual elected or appointed to represent and defend the interests of union members.

Laid Off

The temporary or permanent dismissal of employees from their job due to business-related reasons like cost-cutting or downsizing.

Illegal Strike

A work stoppage by a group of workers that is not authorized by the relevant labor laws or violates a binding labor agreement.

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