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).
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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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