Suppose that x1 x2 x3 x4 are independent u 0 1-distributed


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)).

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Basic Statistics: Suppose that x1 x2 x3 x4 are independent u 0 1-distributed
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