The time that it takes to service a car is an

Chapter 6, Problem 6.28

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The time that it takes to service a car is an exponentialrandom variable with rate 1.(a) If A. J. brings his car in at time 0 and M. J.brings her car in at time t, what is the probabilitythat M. J.s car is ready before A. J.s car?(Assume that service times are independentand service begins upon arrival of the car.)(b) If both cars are brought in at time 0, withwork starting on M. J.s car only when A. J.scar has been completely serviced, what is theprobability that M. J.s car is ready beforetime 2?

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