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Problem 2: Exercise 2.92 in the textbook, page 71. Suppose the diagram of an electrical system is as given in the figure. What is the probability that the system works? Assume the components fail independently? 0.95 0.7 B 0.8 C 0.9 D

Problem 2: Exercise 2.92 in the textbook, page 71. Suppose the diagram of an electrical system is as given in the figure. What is the probability that the system works? Assume the components fail independently? 0.95 0.7 B 0.8 C 0.9 D

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Assume they fail indeptently 

Problem 2: Exercise 2.92 in the textbook, page 71. Suppose the diagram of an electrical system is as given in the figure. What is the probability that the system works? Assume the components fail independently? 0.95 0.7 B 0.8 C 0.9 D
Transcribed Image Text:Problem 2: Exercise 2.92 in the textbook, page 71. Suppose the diagram of an electrical system is as given in the figure. What is the probability that the system works? Assume the components fail independently? 0.95 0.7 B 0.8 C 0.9 D
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Step 1

An electrical system has four components A, B, C and D. A and D are in series whereas B and C are in parallel. The system will work if A and D work compulsorily, and any one of B and C must work.

It is given that: P(A) = 0.95, P(B) =0.7, P(C) = 0.8 and P(D) = 0.9

Also, the components fail independently.

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