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Suppose Y has probability density function f(y) = 3y 2 0 y 1 0 otherwise . Use the method of transformation to find the probability

Suppose Y has probability density function f(y) = 3y 2 0 y 1

0 otherwise . Use the method of transformation to find the probability density functions of

(a) U = e Y and (b) W = 1 3Y .

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