6. Nine identical components, c,,c, ,., C, act independently. The components are arranged in a system...

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6. Nine identical components, c,,c, ,., C, act independently. The components are arranged in a system S as shown in the diagram below. (a) If the probability that a component functions is p, 0 1, determine the probability that S functions. (b) Let A, denote the event that c, functions (i = 1,2, 9) and let A denote the event that S ....... functions. Express A in terms of the A,'s. 6. Nine identical components, c,,c, ,., C, act independently. The components are arranged in a system S as shown in the diagram below. (a) If the probability that a component functions is p, 0 1, determine the probability that S functions. (b) Let A, denote the event that c, functions (i = 1,2, 9) and let A denote the event that S ....... functions. Express A in terms of the A,'s.

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