A Post Office Has a Single Line for Customers Waiting

question 72

Multiple Choice

A post office has a single line for customers waiting for the next available postal clerk.There are two postal clerks who work at the same rate.The arrival rate of customers follows a Poisson distribution, while the service time follows an exponential distribution.The average arrival rate is three per minute and the average service rate is two per minute for each of the two clerks.What is the average length of the line?

• A)3.429
• B)1.929
• C)1.143
• D)0.643

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Definitions:

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The 19th-century movement of settlers, agriculture, and industry into the American West, often leading to the displacement of Indigenous peoples.

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A railway system completed in 1869 that connected the eastern and western parts of the United States, significantly reducing travel time and facilitating economic growth.

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The decisions related to employment, including job selection, career paths, and work conditions.

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