SOLUTION: A machine has four components, A, B, C, and D, set up in such a manner that all four parts must work for the the machine to work properly. Assume the probability of one part worki

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Question 364102: A machine has four components, A, B, C, and D, set up in such a manner that all four parts must work for the the machine to work properly. Assume the probability of one part working does not depend on the functionality of any of the other parts. Also assume that the probabilities of the individual parts working are P(A)=P(B)=0.93, P(C)=0.99, and P(D)=0.95. Find the probability that at least one of the four parts will work.
Answer by scott8148(6628)   (Show Source): You can put this solution on YOUR website!
the probability that at least one part will work is equal to ONE minus "the probability that NONE of the parts work"

P = 1 - [(1 - .93)(1 - .93)(1 - .99)(1 - .95)]

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