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Mathematics, 06.04.2021 02:20 awgggg

Steve loves to watch sailing regattas over the summer (a regatta is a sporting event consisting of a series of boat races). The regatta he is watching has 10 sailboats in the race. Suppose that each of the sailboats start racing at the same time and the time it takes each to finish is an independent exponential random variable with a mean of 30 minutes. Steve will stop watching after the first 5 sailboats cross the finish line. If T is the amount of time Steve is watching the race. (a) Find E[T].
(b) Find Var(T).

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