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Customers enter the waiting line to pay for food as they leave a cafeteria on a first-come, ...

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Customers enter the waiting line to pay for food as they leave a cafeteria on a first-come, ...

Customers enter the waiting line to pay for food as they leave a cafeteria on a first-come, first-served basis. The arrival rate follows a Poisson distribution, while service times follow an exponential distribution. If the average number of arrivals is four per minute and the average service rate of a single server is seven per minute, what proportion of the time is the server busy?
A) 0.43
B) 0.57
C) 0.75
D) 0.25
E) 0.33

Textbook

Quantitative Analysis for Management

Edition: 12^th

Authors: Render, Stair, Hanna, Hale

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