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Students Arrive Randomly at the Help Desk of the Computer

question 100

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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. On average, how long does it take to service each student?


Definitions:

Blank Endorsement

An endorsement on a financial instrument, such as a check, with only the signature of the endorser, making it payable to anyone holding the instrument.

Payee's Signature

The signature of the person entitled to receive payment on a check or document, signifying approval or receipt of money.

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The process of sharing or reporting financial earnings, typically involving individuals, businesses, or other organizations.

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A measure of the financial stability and viability of an individual, organization, or entity, assessing aspects like liquidity, debt, and profitability.

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