Coffee Shop campus has one barista. Students arrive at the rate of 20 students per hour according aPoisson distribution. The service time is estimated to be 2 customers per minute (exponentiallydistributed).Please calculate the average number of customers in the system. (Show your work)What is the probability that exactly 20 customers will arrive in a 1-hour period? (Show your work)Suppose that a student arrival rate increases to 35 students per hour according a Poisson distribution.What dynamics you would observe in thewaiting line. How many people would be in the system (both waiting and being served)?

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Answered: Coffee Shop campus has one barista.…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section12.5: Analytic Steady-state Queueing Models

Problem 9P

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