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Let X be a random variable that is uniformly distributed, X ~ UNIF(0, 1). Use the CDF technique to determine the pdf of each of

Let X be a random variable that is uniformly distributed, X ~ UNIF(0, 1). Use the CDF technique to determine the pdf of each of the following:

(a) Y = X^1/4.

(b) W = e^X.

(d) U = X(1 X).

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