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There are ve components. The components act independently, with component i working with probability pi, i = 1,2,3,4,5. These components form a system as shown

There are ve components. The components act independently, with component i working with probability pi, i = 1,2,3,4,5. These components form a system as shown in Figure 3.7. Thesystemissaidtoworkifasignaloriginatingattheleftendofthediagramcan reach the right end, where it can pass through a component only if that component is working. (For instance, if components 1 and 4 both work, then the system also works.) What is the probability that the system works?

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