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The length of time necessary to tune up a car (X) is exponentially distributed with a...

The length of time necessary to tune up a car (X) is exponentially distributed with a mean of half and hour. Three cars are waiting for a tune up. Assume that service is done one car at a time and that service time are independent.

a) Find the probability that the tune-up for the first car will not exceed one hour.

b) What is the distribution of the total time X1+X2+X3 needed to tune-up the three cars? Why? Show work to support your answer.

Math   Statistics-And-Probability   
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