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Solved: Three components are connected to form a system as

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 3E 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 3E

Three components are connected to form a system as shown in the accompanying diagram. Because the components in the 2–3 subsystem are connected in parallel, that subsystem will function if at least one of the two individual components functions. For the entire system to function, component 1 must function and so must the 2–3 subsystem. The experiment consists of determining the condition of each component [S (success) for a functioning component and F (failure) for a nonfunctioning component]. a. Which outcomes are contained in the event A that exactly two out of the three components function? b. Which outcomes are contained in the event B that at least two of the components function? c. Which outcomes are contained in the event C that the system functions? d. List outcomes in

Step-by-Step Solution:

Solution: Step 1: Given that a system that consist of 2 subsystems. Here the components in the 2–3 subsystem are connected in parallel so the system will function if and only if component one and at least one of two(2-3) individual component functions . Step 2: a) Here the event A is defined as that exactly two out three components in the system is functions. So it is clear that the outcomes of this event will be 1) (1,2) (component one and two functions) 2) (1,3) 3) (2,3) b) Since the event B is defined as that at least two of three components function the outcomes of the event will be. 1) (1,2) 2) (1,3) 3) (2,3) 4) (1,2,3) (all the components functions in the system)

Step 3 of 4

Chapter 2, Problem 3E is Solved
Step 4 of 4

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. Since the solution to 3E from 2 chapter was answered, more than 642 students have viewed the full step-by-step answer. The answer to “Three components are connected to form a system as shown in the accompanying diagram. Because the components in the 2–3 subsystem are connected in parallel, that subsystem will function if at least one of the two individual components functions. For the entire system to function, component 1 must function and so must the 2–3 subsystem. The experiment consists of determining the condition of each component [S (success) for a functioning component and F (failure) for a nonfunctioning component]. a. Which outcomes are contained in the event A that exactly two out of the three components function? b. Which outcomes are contained in the event B that at least two of the components function? c. Which outcomes are contained in the event C that the system functions? d. List outcomes in” is broken down into a number of easy to follow steps, and 130 words. This textbook survival guide was created for the textbook: Probability and Statistics for Engineers and the Scientists, edition: 9. This full solution covers the following key subjects: function, components, component, Outcomes, contained. This expansive textbook survival guide covers 18 chapters, and 1582 solutions. The full step-by-step solution to problem: 3E from chapter: 2 was answered by , our top Statistics solution expert on 05/06/17, 06:21PM.

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