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A system of comprised of three independent components. The probability of failure for each component is given,

D4 MORE NON-CAR (6) 3. A system comprised of thrce independent components. The probability of failure for each component is given. #2.2 #3.3 #1 .1 Use our standard Noration: A,, A2, A3, A [system operates properly) a) Find the probability that the system operates properly. b) Find the probability that at most two of the components work. (event B) c) Find the probability that the system operates properly if at most two of the components work.

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Answer #1

Here we use theorem of conditional probability.

* given that Ai's are independent .

ニ1. [P@İ) r(B+ P(ARE t78〉s@i) ?( )] 04 F050 - 04g6

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