A system has five components connected as shown in the diagram. Assume A, B,  C, D, and E function independently. If the probabilities that A, B, C, D, and E fail 0.05, 0.04,  0.10, 0.04, and 0.06 respectively, what is the probability that the system functions

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.2: The Law Of Cosines
Problem 11E
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A system has five components connected as shown in the diagram. Assume A, B, 
C, D, and E function independently. If the probabilities that A, B, C, D, and E fail 0.05, 0.04, 
0.10, 0.04, and 0.06 respectively, what is the probability that the system functions?

 

A
B
Transcribed Image Text:A B
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I don't understand!  When I did it, I found the answer to be 0.98347 

this is how I approached the problem. 

P(A)=0.95, P(B)=0.96,P(C)= 090, P(D)= 0.96, P(E)=0.96

 

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