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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:

Simple Reflex

A basic, automatic response to a stimulus that does not involve any conscious decision, such as the knee-jerk reaction.

Tertiary Circular Reactions

The purposeful adaptation of established schemes to new situations.

Visually Track

The ability to follow the movement of objects with one's eyes, an essential feature of visual perception.

Tertiary Circular Reaction

A cognitive development stage in babies between 12 and 18 months where they experiment with new behaviors to see results, showing an early form of trial-and-error learning.

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