Let X be a random variable with pdff(x) = 4x^3 if 0 < x < 1 and zero otherwise. Use the cumulative (CDF) technique to determine the pdf of each of the following random variables: 1) Y=X^4, 2) W=e^(-x) 3) Z=1-e^(-x) 4) U=X(1-X)

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Let X be a random variable with pdff(x) = 4x^3 if 0 < x < 1 and zero otherwise. Use the
cumulative (CDF) technique to determine the pdf of each of the following random variables:

1) Y=X^4,

2) W=e^(-x)

3) Z=1-e^(-x)

4) U=X(1-X)

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