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A system consists of four components connected as shown in the following diagram: Assume A, B, C, and D function independently. If the probabilities that A, B, C, and D fail are 0.11, 0.05, 0.11, and 0.17, respectively, what is the probability that the system functions? Round the answer to four decimal places.

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Component A and B are in ser The reliability of those components is P(1)- P(A and B) -P(A)2(B)-0. 1 1st 0.05-0.0055 Component Cand D are in parallel. The reliability of those components is P(2)-P(C or D) -P(C)+PD)- P(C and D) -0, 1 1 + 0.17-0.11*0.17-0.2613 Components 1 and 2 are parallel The relibility of the entire system is P(entire system)- (1 or 2) P(1)+P2)- P(1 and 2) 0.0055+0.2613-0.0055 0.2613-0.26536

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