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A production line consists of two systems A and B. System A has probability 0.5 of functioning. System B has probability 0.8 of functioning. Assume

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A production line consists of two systems A and B. System A has probability 0.5 of functioning. System B has probability 0.8 of functioning. Assume two system works independeny. I [5 pts] If system A is not functioning, what is the probability that B is not functioning either? '11? What is the probability that neither system is functioning? 11': Given that at least one of the two systems is functioning, what is the probability that only the system A is functioning? N: The factory imports two new systems, called system C and D. System C consists of 6 major components. System C will function if at least one of the 6 components functions and each component has probability of 0.7 of functioning. System D consists of 3 major components, system C will function if at least one of the 3 components functions and each component has probability of 0.9 of functioning. Assume that all the components function independently, and both system functions independently. What is the probability that both of the new mechanical system fails at the same time

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