Question: 1.Let X be uniformly distributed over the interval [0,1] and Y be exponentially distributed with mean equal to 1.Assume that X and Y are independent.Use

1.Let X be uniformly distributed over the interval [0,1] and Y be exponentially distributed with mean equal to 1.Assume that X and Y are independent.Use the method of distribution to find the p.d.f. of . Hint: You'll need to split the range of z into and and consider these two cases separately.

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