a) What is the probability that the system works? Assume the components fail independently. b) Given that the system works, what is the probability that the component B is not working.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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A circuit system is given in Figure 1.
B
0.7
0.7
A
E
0.9
0.9
D
0.8
Figure 1: Diagram for Question 5
a) What is the probability that the system works? Assume the components fail independently.
b) Given that the system works, what is the probability that the component B is not working.
Transcribed Image Text:A circuit system is given in Figure 1. B 0.7 0.7 A E 0.9 0.9 D 0.8 Figure 1: Diagram for Question 5 a) What is the probability that the system works? Assume the components fail independently. b) Given that the system works, what is the probability that the component B is not working.
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