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.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 19E: If the spinner shown below is spun, find the probability of each event. Assume that the spinner...
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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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