1 let x1 x2 x3 and x4 be independent u 0 1-distributed, Ask an Expert

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1. Let X1, X2, X3, and X4 be independent, U (0, 1)-distributed random variables. Compute

(a) P (X(3) + X(4) ≤ 1),

(b) P (X3 + X4 ≤ 1).

2. Let X1, X2, X3 be independent U (0, 1)-distributed random variables, and let X(1), X(2), X(3) be the corresponding order variables. Compute P (X(1) + X(3) ≤ 1).

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