A system consists of 4 components in a series, so the system works properly if all of

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A system consists of 4 components in a series, so the system works properly if all of the components are functional. In other words, the system fails if and only if at least one of its components fails. Suppose the probability that the component i fails is less than or equal to pf  = 1/100, for i = 1, 2, 3, 4. Find an upper bound on the probability that the system fails.  

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