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If X is a hypergeometric rv, show directly from the

Probability and Statistics for Engineers and the Scientists | 9th Edition | ISBN: 9780321629111 | Authors: Ronald E. Walpole; Raymond H. Myers; Sharon L. Myers; Keying E. Ye ISBN: 9780321629111 32

Solution for problem 118E Chapter 3

Probability and Statistics for Engineers and the Scientists | 9th Edition

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Probability and Statistics for Engineers and the Scientists | 9th Edition | ISBN: 9780321629111 | Authors: Ronald E. Walpole; Raymond H. Myers; Sharon L. Myers; Keying E. Ye

Probability and Statistics for Engineers and the Scientists | 9th Edition

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Problem 118E

If X is a hypergeometric rv, show directly from the definition that E(X) = nM/N ( consider only the case n < M). [Hint: Factor nM/N out of the sum for E(X), and show that the terms inside the sum are of the form h( y; n – 1, M – 1, N -1), where y – x -1.]

Step-by-Step Solution:

Answer : Step 1 : Given If X is a hypergeometric rv. Now we have to show that directly from the definition that E(X) = N Here X:hypergeometric row variable. P(X = x)=h(x;n,m,N) Proposition : If X is the number of S’s in a completely random sample of size n drawn from a population consisting of M S’s and (N-M) F’s , then the probability distribution of X, called the hypergeometric distribution, is given by M NM (x)( nx ) P(X = x) = h(x; n, M, N) = N (n) X= the number of successes from a sample size of n, from a population of size N, with...

Step 2 of 3

Chapter 3, Problem 118E is Solved
Step 3 of 3

Textbook: Probability and Statistics for Engineers and the Scientists
Edition: 9
Author: Ronald E. Walpole; Raymond H. Myers; Sharon L. Myers; Keying E. Ye
ISBN: 9780321629111

Probability and Statistics for Engineers and the Scientists was written by and is associated to the ISBN: 9780321629111. The answer to “If X is a hypergeometric rv, show directly from the definition that E(X) = nM/N ( consider only the case n < M). [Hint: Factor nM/N out of the sum for E(X), and show that the terms inside the sum are of the form h( y; n – 1, M – 1, N -1), where y – x -1.]” is broken down into a number of easy to follow steps, and 59 words. This textbook survival guide was created for the textbook: Probability and Statistics for Engineers and the Scientists, edition: 9. Since the solution to 118E from 3 chapter was answered, more than 285 students have viewed the full step-by-step answer. This full solution covers the following key subjects: show, sum, hint, directly, factor. This expansive textbook survival guide covers 18 chapters, and 1582 solutions. The full step-by-step solution to problem: 118E from chapter: 3 was answered by , our top Statistics solution expert on 05/06/17, 06:21PM.

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