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# Another method of generating a random permutation,

ISBN: 9780123948113 226

## Solution for problem 2 Chapter 15

Introduction to Probability and Statistics for Engineers and Scientists | 5th Edition

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Problem 2

Another method of generating a random permutation, different from the one given in Example 15.2b, is to successively generate a random permutation of the numbers 1, 2, . . . , n starting with n = 1, then n = 2, and so on. (Of course, the random permutation when n = 1 is 1.) Once we have a random permutation of the numbers 1, . . . , n 1call it P1, P2, . . . , Pn1the random permutation of the numbers 1, . . . , n is obtained by starting with the permutation P1, P2, . . . , Pn1, n, then interchanging the element in position n (namely, n) with the element in a randomly chosen position that is equally likely to be any of the positions 1, 2, . . . , n. (a) Write an algorithm that accomplishes the preceding. (b) Verify when n = 2 and when n = 3 that all n! possible permutations are equally likely.

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##### ISBN: 9780123948113

The full step-by-step solution to problem: 2 from chapter: 15 was answered by , our top Statistics solution expert on 01/09/18, 07:40PM. Since the solution to 2 from 15 chapter was answered, more than 230 students have viewed the full step-by-step answer. The answer to “Another method of generating a random permutation, different from the one given in Example 15.2b, is to successively generate a random permutation of the numbers 1, 2, . . . , n starting with n = 1, then n = 2, and so on. (Of course, the random permutation when n = 1 is 1.) Once we have a random permutation of the numbers 1, . . . , n 1call it P1, P2, . . . , Pn1the random permutation of the numbers 1, . . . , n is obtained by starting with the permutation P1, P2, . . . , Pn1, n, then interchanging the element in position n (namely, n) with the element in a randomly chosen position that is equally likely to be any of the positions 1, 2, . . . , n. (a) Write an algorithm that accomplishes the preceding. (b) Verify when n = 2 and when n = 3 that all n! possible permutations are equally likely.” is broken down into a number of easy to follow steps, and 166 words. This textbook survival guide was created for the textbook: Introduction to Probability and Statistics for Engineers and Scientists, edition: 5. This full solution covers the following key subjects: . This expansive textbook survival guide covers 15 chapters, and 576 solutions. Introduction to Probability and Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780123948113.

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