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Solved: An engineering construction firm is currently

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 8E 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 8E

An engineering construction firm is currently working on power plants at three different sites. Let ?Ai ?denote the event that the plant at site ?i ?is completed by the contract date. Use the operations of union, intersection, and complementation to describe each of the following events in terms of ?A?1, ?A?2, and ?A?3, draw a Venn diagram, and shade the region corresponding to each one. a?.? t least one plant is completed by the contract date. b?. ?All plants are completed by the contract date. c?.? nly the plant at site 1 is completed by the contract date. d?.? xactly one plant is completed by the contract date. e?. ?Either the plant at site 1 or both of the other two plants are completed by the contract date.

Step-by-Step Solution:

Answer : Step 1 of 5 : Given, An engineering construction firm is currently working on power plants at three different sites. Let Ai denote the event that the plant at site i is completed by the contract date. Use the operations of union, intersection, and complementation to describe each of the following events in terms of A1, A2, and A3 a) At least one plant is completed by the contract date. This statement implies that at least one plant is completed by the contract date at one of the three sites. We can say the plant is completed at site 1 or site 2 or site 3 by the contract date. A1=the event that the plant at site 1 is completed by the contract date A2=the event that the plant at site 2 is completed by the contract date A3=the event that the plant at site 3 is completed by the contract date S = sample space We have to draw venn diagram That is A 1 A 2 = th3 event that at least one plant is completed by the contract date venn diagram : Step 2 of 5 : b) ll plants are completed by the contract date. This statement implies that all plants are completed by the contract date at one of the three sites. We can say the plants are completed at site 1 and site 2 or site 3 by the contract date. We have to draw venn diagram That is A 1 A 2 = th3 event that all plants are completed by the contract date venn diagram :

Step 3 of 4

Chapter 2, Problem 8E 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

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