Question: Let Y1 < Y2 < Y3 denote the order statistics of a random sample of three observations from the uniform distribution on the interval [0,

Let Y1< Y2 < Y3 denote the order statistics of a random sample of three observations from the uniform distribution on the interval [0, 1]. Determine the conditional distribution of Y2 given that Y1 = Y1 and Y3 = Y3 (0 < Y1 < Y3 < 1).

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