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Back to 7.3 Problems on Distribution and Density Functions

7.3 Exercise 31

Avg difficulty 2.5

Five “identical” electronic devices are installed at one time. The units fail independently, and the time to failure, in days, of each is a random variable exponential (1/30). A maintenance check is made each fifteen days. What is the probability that at least four are still operating at the maintenance check?

Pfeiffer, Applied Probability, 7.3 Problems on Distribution and Density Functions, exercise 31

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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.