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Electrical Engineering

Your favorite coffee shop has a steady business such that the customer service

counter can be modeled as a first-come, first serve M/M/1 queue with a customer arrival

rate λ and a service rate µ during its hours of operation. Assume no customer is waiting

in line or in service when the store opens for business in the morning.

(a) You happen to be the second customer of the day. What is the mean and variance of

your total system time (total wait time in queue plus service time)?


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