Let X(1), X(2), ..., X(n) be the order statistics of a set of n independent uniform (0, 1) random variables. Find the conditional distribution of X(n) given that X(1) = s(1), X(2) = s(2), ..., X(n-1)=s(n-1).

Let X(1), X(2), ..., X(n) be the order statistics of a set of n independent uniform (0, 1) random variables. Find the conditional distribution of X(n) given that X(1) = s(1), X(2) = s(2), ..., X(n-1)=s(n-1).

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Let X(1), X(2), ..., X(n) be the order statistics of a set of n independent uniform (0, 1) random variables.
Find the conditional distribution of X(n) given that X(1) = s(1), X(2) = s(2), ..., X(n-1)=s(n-1).

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