Question: 3.31 Based on extensive testing, it is determined by the manufacturer of a washing machine that the time Y (in years) before a major repair

3.31 Based on extensive testing, it is determined by the manufacturer of a washing machine that the time Y (in years) before a major repair is required is characterized by the probability density function f(y) =

14 e

−y /4, y≥ 0, 0, elsewhere.

(a) Critics would certainly consider the product a bargain if it is unlikely to require a major repair before the sixth year. Comment on this by determining P(Y > 6).

(b) What is the probability that a major repair occurs in the first year?

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