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5. Order statistics of two uniform random variables. Let X and Y be independent random variables each having uniform distribution on [0, 1]. Let U

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5. Order statistics of two uniform random variables. Let X and Y be independent random variables each having uniform distribution on [0, 1]. Let U = min{ X, Y} and V = max{ X, Y}. (a) (2 pts) Find Cov(3X + 4Y + 7, 2X - Y - 3). (b) (3 pts) Show that the density fu(u) of U equals fu(u) = 2(1 -u) 0Ku

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