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Let X 1 , X 2 , X 3 be independent and identically uniformly distributed on [1, 1]; i.e. F ( t ) 0 2

Let X1, X2, X3 be independent and identically uniformly distributed on [1, 1]; i.e.

F(t)021+t1t<11t<11t Let X(1), X(2), X(3) be the order statistics of this

triple. (a) Find E( X(2) X(1))

(b) Find E( X(3) X(2))

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