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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:

Government Budget Deficit

A financial situation where a government's expenditures exceed its revenues over a specified period, leading to borrowing or debt accumulation.

Public Saving

is the difference between the taxation revenue that the government receives and its spending.

National Saving

The total amount of savings generated within a country, including both private and public savings, which is key to funding investment.

Tariff

A tax imposed by a government on imported goods, often to protect domestic industries from foreign competition.

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