Question: Let X have density f(x) = 2(1 x), 0 x 1. Find the density of: (i) Y = X(1 X). (ii)

Let X have density f(x) = 2(1 − x), 0 ≤ x ≤ 1. Find the density of: (i) Y =

X(1 − X). (ii) W = max(X, 1 − X).

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