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# In Exercise 5.3, we determined that the joint probability distribution of Y1, the number ISBN: 9780495110811 47

## Solution for problem 5.21 Chapter 5

Mathematical Statistics with Applications | 7th Edition

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Problem 5.21

In Exercise 5.3, we determined that the joint probability distribution of Y1, the number of married executives, and Y2, the number of never-married executives, is given by p(y1, y2) = 4 y1 3 y2 2 3 y1 y2 9 3 where y1 and y2 are integers, 0 y1 3, 0 y2 3, and 1 y1 + y2 3. a Find the marginal probability distribution of Y1, the number of married executives among the three selected for promotion. b Find P(Y1 = 1|Y2 = 2). c If we let Y3 denote the number of divorced executives among the three selected for promotion, then Y3 = 3 Y1 Y2. Find P(Y3 = 1|Y2 = 1). d Compare the marginal distribution derived in (a) with the hypergeometric distributions with N = 9, n = 3, and r = 4 encountered in Section 3.7. 5.22 I

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Statistical Inference: provides methods for drawing conclusions about a population from the sample data. There are two ways to do this:  Confidence intervals: used to estimate the value of a population parameter using sample statistics Test of Significance: used for assessing evidence for a claim about the  population To set up  Have to have an SRS...

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##### ISBN: 9780495110811

The answer to “In Exercise 5.3, we determined that the joint probability distribution of Y1, the number of married executives, and Y2, the number of never-married executives, is given by p(y1, y2) = 4 y1 3 y2 2 3 y1 y2 9 3 where y1 and y2 are integers, 0 y1 3, 0 y2 3, and 1 y1 + y2 3. a Find the marginal probability distribution of Y1, the number of married executives among the three selected for promotion. b Find P(Y1 = 1|Y2 = 2). c If we let Y3 denote the number of divorced executives among the three selected for promotion, then Y3 = 3 Y1 Y2. Find P(Y3 = 1|Y2 = 1). d Compare the marginal distribution derived in (a) with the hypergeometric distributions with N = 9, n = 3, and r = 4 encountered in Section 3.7. 5.22 I” is broken down into a number of easy to follow steps, and 142 words. This textbook survival guide was created for the textbook: Mathematical Statistics with Applications , edition: 7. This full solution covers the following key subjects: . This expansive textbook survival guide covers 32 chapters, and 3350 solutions. Since the solution to 5.21 from 5 chapter was answered, more than 212 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 5.21 from chapter: 5 was answered by , our top Statistics solution expert on 07/18/17, 08:07AM. Mathematical Statistics with Applications was written by and is associated to the ISBN: 9780495110811.

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