(a) Let X1, X2, X3, X4 be a sample from U(0, 1), and let X(1), X(2), X(3), X(4) be the cor - responding order statistics. Find the probability density function for each of the random variables: i. X(2) [1] ii. X(3) – X(1) [1] iii. X(4) — X(2) [1] iv. 1 – X(3)

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