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Back to 4.4 Problems on Independence of Events

4.4 Exercise 23

Avg difficulty 2.5

A system has eight components with respective probabilities

0 . 96 0 . 90 0 . 93 0 . 82 0 . 85 0 . 97 0 . 88 0 . 80 0 . 96 0 . 90 0 . 93 0 . 82 0 . 85 0 . 97 0 . 88 0 . 80

Units 1 and 2 form a parallel subsytem in series with unit 3 and a three of five combination of units 4 through 8. What is the reliability of the complete system?

Pfeiffer, Applied Probability, 4.4 Problems on Independence of Events, exercise 23

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Adapted from Applied Probability © 2009 Paul E. Pfeiffer. Licensed under CC BY 3.0. Source: Applied Probability. Imported at revision d7a0420.