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QUESTION

Let Y1 Y2 Y3 denote the order statistics of a random sample of size 3 from a distribution with pdf f(x) = 1, 0 x 1, zero elsewhere. Let Z =...

Let Y1 < Y2 < Y3 denote the order statistics of a random sample of size

3 from a distribution with pdf f(x) = 1, 0 < x < 1, zero elsewhere. Let Z =

(Y1 + Y3)/2 be the midrange of the sample. Find the pdf of Z  

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