Let X(1) X(2) . . . X(n) be the ordered values of n independent

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Let X(1) ≤ X(2) ≤ . . . ≤ X(n) be the ordered values of n independent uniform (0, 1) random variables.
Prove that for 1 ≤ k ≤ n + 1,
P{X(k) − X(k−1) > t} = (1 − t)n
where X(0) ≡ 0, X(n+1) ≡ t.

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A First Course In Probability

ISBN: 9789332519077

9th Edition

Authors: Sheldon Ross

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Question Posted: Oct 22, 2015 02:59 AM

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Let X(1) X(2) . . . X(n) be the ordered values of n independent

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Let X 1 X n be n independent uniform random variables over 0 a We will show by inducti...View the full answer

A First Course In Probability

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