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A car wash has two stations, 1 and 2. The service time at station 1 is...

A car wash has two stations, 1 and 2. The service time at station 1 is exponentially distributed with parameter λ1, and the service time at station 2 is exponentially distributed with parameter λ2.When a car arrives at the car wash, it begins service at station 1, provided station 1 is free; otherwise, the car waits until station 1 is available. Upon completing service at station 1, the car then proceeds to station 2, provided station 2 is free; otherwise, the car has to wait at station 1, blocking other cars from receiving service at station 1. The car exits thecarwash after service at station 2 is completed. Different cars are independent of each other, and for any car, the service time at station 1 is independent of the service time at station 2.When you arrive, there is only one car at the car wash, and it is receiving service at station 1.Compute the expected time from your arrival until your exit from the car wash.

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milcah answered 1 year ago
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