Calculate the probability that the entire system works.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 30E
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QUESTION 12
Consider the system of components connected as in the accompanying picture below.
0.7
If all components work independently
of one another, and their respec-
tive working probabilities are given as
P(A) = 0.95, P(B) = 0.7, P(C) = 0.8
and P(D) = 0.9.
B
0.95
0.9
A
0.8
Calculate the probability that the entire system works.
0.4788
2.79
0.8037
0.8817
Transcribed Image Text:QUESTION 12 Consider the system of components connected as in the accompanying picture below. 0.7 If all components work independently of one another, and their respec- tive working probabilities are given as P(A) = 0.95, P(B) = 0.7, P(C) = 0.8 and P(D) = 0.9. B 0.95 0.9 A 0.8 Calculate the probability that the entire system works. 0.4788 2.79 0.8037 0.8817
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