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Serial and Parallel Systems

Serial and Parallel Systems. For increased safety and reliability, systems are often designed with redundancies. A typical system might look like the following:. Serial and Parallel Systems. What is the probability that: Segment 1 works? Segment 2 works? The entire system works?. 1. 2. 0.

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Serial and Parallel Systems

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  1. Serial and Parallel Systems • For increased safety and reliability, systems are often designed with redundancies. A typical system might look like the following:

  2. Serial and Parallel Systems • What is the probability that: • Segment 1 works? • Segment 2 works? • The entire system works? 1 2

  3. 0 . 88 C 0 . 95 0 . 9 0 . 97 A B E 0 . 85 D Conditional Probability • If segment 2 works, what is the probability that component C does not work? P(B|A) = P(B ∩ A) / P(A) 1 2

  4. 0 . 88 C 0 . 95 0 . 9 0 . 97 A B E 0 . 85 D Conditional Probability • If the system works, what is the probability that component D does not work?

  5. Your turn … • Problem 2.79, page 65

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