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)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Assume they fail indeptently
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
Expert Solution
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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