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In: Statistics and Probability

If X is uniformly distributed over (0, 1), find the fY (t) and E(Y ) of...

If X is uniformly distributed over (0, 1), find the fY (t) and E(Y ) of

(a) Y = e X.

(b)Y = − ln(X)

(c) Y = cos(πX)

(d)Y = sin(πX)

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