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Consider a system of two components, connected as shown in the diagr.pdf

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Consider a system of two components, connected as shown in the diagram below. Suppose that the components function independently, and that the probabilities of FAILURE are 0.05 for A and 0.10 for B. Find the probability that the system FUNCTIONS. Solution P(system functions) = P(A function or B function) = 1 - P(A fails and B fails) = 1 - 0.05 * 0.1 = 0.995.

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Consider a system of two components, connected as shown in the diagram below. Suppose that the components function independently, and that the probabilities of FAILURE are 0.05 for A and 0.10 for B. Find the probability that the system FUNCTIONS. Solution P(system functions) = P(A function or B function) = 1 - P(A fails and B fails) = 1 - 0.05 * 0.1 = 0.995

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Consider a system of two components, connected as shown in the diagr.pdf

  • 1. Consider a system of two components, connected as shown in the diagram below. Suppose that the components function independently, and that the probabilities of FAILURE are 0.05 for A and 0.10 for B. Find the probability that the system FUNCTIONS. Solution P(system functions) = P(A function or B function) = 1 - P(A fails and B fails) = 1 - 0.05 * 0.1 = 0.995