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There is a system consisting of components. Each component functions with probability p = 0.9, independent of the other components. The system as a whole functions provided that there is at least one path (from left to right) through functioning elements. Give your answers in terms of the variable p, and the numeric value when p = 0.9. 4 2 5 (a) Given that the system shown in the figure works, what is the probability that either component 2 or component 3 functions? (b) Let Aį denote the event that component i works, and let E denote the event that the system works. Find P(E|A2 U A3).

There is a system consisting of components. Each component functions with probability p = 0.9, independent of the other components. The system as a whole functions provided that there is at least one path (from left to right) through functioning elements. Give your answers in terms of the variable p, and the numeric value when p = 0.9. 4 2 5 (a) Given that the system shown in the figure works, what is the probability that either component 2 or component 3 functions? (b) Let Aį denote the event that component i works, and let E denote the event that the system works. Find P(E|A2 U A3).

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 41CT: On a game show, a contestant is given the digits 3, 4, and 5 to arrange in the proper order to form...
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There is a system consisting of components. Each component functions with probability p = 0.9, independent of the other components. The system as a whole functions provided that there is at least one path (from left to right) through functioning elements. Give your answers in terms of the variable p, and the numeric value when p = 0.9. 1 3 4 2 5 (a) Given that the system shown in the figure works, what is the probability that either component 2 or component 3 functions? (b) Let A denote the event that component i works, and let E denote the event that the system works. Find P(E|A2 U A3).
Transcribed Image Text:There is a system consisting of components. Each component functions with probability p = 0.9, independent of the other components. The system as a whole functions provided that there is at least one path (from left to right) through functioning elements. Give your answers in terms of the variable p, and the numeric value when p = 0.9. 1 3 4 2 5 (a) Given that the system shown in the figure works, what is the probability that either component 2 or component 3 functions? (b) Let A denote the event that component i works, and let E denote the event that the system works. Find P(E|A2 U A3).
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