Question: Let X be a random variable with pdf f(x) = 4x 3 if 0 < x < 1 and zero otherwise. Use the cumulative (CDF)

Let X be a random variable with pdf f(x) = 4x³ if 0 < x < 1 and zero otherwise. Use the cumulative (CDF) technique to determine the pdf of each of the following random variables:

(a) Y = X⁴.

(b) W = e^X.

(d) U = (X 0.5)².

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