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Let Y, <>Y2 <>Y3 <>Y4 be the order statistics of a random sample of size n = 4 from a distribution with p.d.f. f(x) = 2x, 0 x 1.
(a) Find the joint p.d.f. of Y3 and Y4
(b) Find the conditional p.d.f. of Y3 , given Y4 = y4
(c) Evaluate E( Y3 ly4 ).
Statistics and Probability, Statistics
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