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##### A university cafeteria line in the student center is a self- serve

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**Question**

14-- A university cafeteria line in the student center is a self- serve facility in which students select the food items they want and then form a single line to pay the cashier.;Students arrive at a rate of about four per minute according to a Poisson distribution. The single cashier ringing up sales takes about 12 seconds per customer, following an exponential distribution.;(a) What is the probability that there are more than two students in the system? more than three students? more than four?;(b) What is the probability that the system is empty?;(c) How long will the average student have to wait before reaching the cashier?;(d) What is the expected number of students in the queue?;(e) What is the average number in the system?;(f) If a second cashier is added (who works at the same pace, how will the operating characteristics computed in parts (b), (c), (d), and (e) change?;Assume that customers wait in a single line and go to the first available cashier

Paper#33746 | Written in 18-Jul-2015

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