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There is a system consisting of components. Each component functions with probability p = 0.9, independent of the other components. The system as a whole functions provided that there is at least one path (from left to right) through functioning elements. Give your answers in terms of the variable 39, and the numeric value when p = 0.9. 1 2 Iwigl (a) Given that the system shown in the gure works, what is the probability that either component 2 or component 3 functions? Hint: Use general inclusion-exclusion principle and Bayes rule. (b) Let A; denote the event that component i works, and let B denote the event that the system works. Find P(B|A2 U A4)