3. A system comprised of three independent components. The probability of failure for each component is given. (6) #2 .2 #3 .3 #1 .1 Use our standard Notation: A1, A2, Аз, А {system operates properly}. a) Find the probability that the system operates properly. b) Find the probability that at least two of the components work. (event B) c) Find the probability that the system operates properly if at least two of the components work.

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