Calculating the distributed random variables

Reference no: EM13985361

Suppose that X1, X2, X3, X4 are independent U (0, 1)-distributed random variables and let (X(1), X(2), X(3), X(4)) be the corresponding order statistic. Compute

(a) P (X(2) + X(3) ≤ 1),

(b) P (X(2) ≤ 3X(1)).

Reference no: EM13985361

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