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Students Arrive Randomly at the Help Desk of the Computer

question 87

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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. How many students, on the average, will be waiting in line at any one time?


Definitions:

Drivetrain Components

The collective parts of a vehicle's drivetrain system, including the engine, transmission, driveshafts, differentials, and axles, responsible for propelling the vehicle.

In-Phase

Usually used to mean properly timed or properly balanced. A driveshaft that is in-phase would be assembled balanced and with the yokes aligned.

Drive Axles

The axles connected to the vehicle's drivetrain that are responsible for transmitting power from the transmission to the wheels, enabling movement.

Parallel-Joint Driveline

In driveline terminology, a drive shaft construction in which all of the companion flanges and yokes are parallel with the working angles of the U-joints set to being equal and opposite.

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