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Back to 4.4 Problems on Independence of Events

4.4 Exercise 33

Avg difficulty 2.5

A computer system has ten similar modules. The circuit has redundancy which ensures the system operates if any eight or more of the units are operative. Units fail independently, and the probability is 0.93 that any unit will survive between maintenance periods. What is the probability of no system failure due to these units?

Pfeiffer, Applied Probability, 4.4 Problems on Independence of Events, exercise 33

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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.