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Students Arrive Randomly at the Help Desk of the Computer

question 13

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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. What is the utilization factor?

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Definitions:

Exercise Price

The specified price at which an option's holder can buy (call option) or sell (put option) the underlying asset.

Risk-free Rate

The theoretical rate of return of an investment with zero risk of financial loss, typically represented by the yield on government securities.

Standard Deviation

A measure of the dispersion or variation in a set of values, often used in finance to assess the volatility of an investment.

Call Option

is a financial contract that gives the buyer the right, but not the obligation, to buy a stock, bond, commodity, or other asset at a specified price within a specific time period.

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