Students Arrive Randomly at the Help Desk of the Computer

question 12

Multiple Choice

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 10 students per hour, and the average service rate is 20 students per hour. A student has just entered the system. How long is she expected to stay in the system?

• A) 0.1 minute
• B) 3.0 minutes
• C) 1.5 minutes
• D) 7.5 minutes
• E) 6.0 minutes

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Definitions:

Daylight

The natural light received from the sun during the day.

Norepinephrine

A neurotransmitter involved in arousal and alertness, as well as in the body's stress response.

Serotonin

A chemical messenger responsible for regulating various functions such as mood, digestion, and sleep cycles.

Depression

A mental illness marked by persistent feelings of dejection or a waning interest in pursuits, severely affecting life's daily aspects.