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 char- acterised by the probability density function 1 y;'4 E 1- E 0! my) = 4 y 0, elsewhere. (a) Critics would certainly consider the product a bar- gain if it is unlikely to require a major repair before the sixth year. Comment on this by determining P(Y :> 6)