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Back to 4.4 Problems on Independence of Events

4.4 Exercise 37

Avg difficulty 2.5

A device has probability p of operating successfully on any trial in a sequence. What probability p is necessary to ensure the probability of successes on all of the first four trials is 0.850 . 85? With that value of p, what is the probability of four or more successes in five trials?

Pfeiffer, Applied Probability, 4.4 Problems on Independence of Events, exercise 37

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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.