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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).
The event "the price of stock X has increased and the price of stock Y has not increased" may be written as??
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