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In Exercise 5, suppose that any incoming individual is

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 28E Chapter 2

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 28E

In Exercise 5, suppose that any incoming individual is equally likely to be assigned to any of the three stations irrespective of where other individuals have been assigned. What is the probability that a.? ll three family members are assigned to the same station? b.?? t most two family members are assigned to the same station? c.? very family member is assigned to a different station?

Step-by-Step Solution:

Answer : Step 1 of 3 : Given, any incoming individual is equally likely to be assigned to any of the three stations irrespective of where other individuals have been assigned. The sample space consists of all length three combinations, with repeats of the numbers 1, 2, and 3. For each of the three positions there are three possible choices, by using the product rule N = (3)(3)(3) = 27 a) The claim is to find the probability that all three family members are assigned to the same station. The are only 3 out of a possible 27 ways in which all members of the family go to the same station. P(all three family members are assigned to the same station) = 3/27 = 1/9 Step 2 of 3 : b) The claim is to find the probability that at most two family members are assigned to the same station. P(at most two family members are assigned to the same station) = 1 - P(all three family members are assigned to the same station) = 1 - 9 = 8/9

Step 3 of 3

Chapter 2, Problem 28E is Solved
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

This textbook survival guide was created for the textbook: Probability and Statistics for Engineers and the Scientists, edition: 9. Since the solution to 28E from 2 chapter was answered, more than 668 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 28E from chapter: 2 was answered by , our top Statistics solution expert on 05/06/17, 06:21PM. The answer to “In Exercise 5, suppose that any incoming individual is equally likely to be assigned to any of the three stations irrespective of where other individuals have been assigned. What is the probability that a.? ll three family members are assigned to the same station? b.?? t most two family members are assigned to the same station? c.? very family member is assigned to a different station?” is broken down into a number of easy to follow steps, and 66 words. This full solution covers the following key subjects: Assigned, family, station, members, any. This expansive textbook survival guide covers 18 chapters, and 1582 solutions. Probability and Statistics for Engineers and the Scientists was written by and is associated to the ISBN: 9780321629111.

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In Exercise 5, suppose that any incoming individual is

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