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In: Statistics and Probability

For any nonnegative integer n, let Y1 < Y2 < · · · < Y2n+1 be...

For any nonnegative integer n, let Y1 < Y2 < · · · < Y2n+1 be the ordered statistics of 2n + 1
independent observations from the uniform distribution on [−2, 2].
(i) Find the p.d.f. for Y1 and the Y2n+1.
(ii) Calculate E(Yn+1). Use your intuition to justify your answer.

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