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Students Arrive Randomly at the Help Desk of the Computer

question 112

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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. A student has just entered the system. How long is she expected to stay in the system?


Definitions:

Ornaments

Decorative features or structures, often relating to animals, that enhance their appearance, possibly playing a role in mating and sexual selection.

Armaments

Physical or biological weapons used by organisms, such as horns or venom, to defend themselves, fight, or deter predators.

Male Paternity

Relates to the genetic fatherhood in species, often investigated in the context of paternity assurance and reproductive strategies.

Non-Sex Role Reversed Species

Species in which traditional sex roles (e.g., females as the primary caregivers) are maintained and there is no reversal of these roles.

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