A system contains three components, A, B and C. All three components must function for the system to work. The probabilities that components A, B and C fail in a day are 0.008, 0.005, and 0.004, respectively. Assume that the three components function independently. a) What is the probability that the system functions successfully in a day? b) What is the probability that the system functions successfully for 30 days without failure? Assume that failure or success in a day is independent of what happens in other days.

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