Back to 9.2 Problems on Independent Classes of Random Variables

9.2 Exercise 15

Avg difficulty 2.5

A critical module in a network server has time to failure (in hours of machine time) exponential (1/3000). The machine operates continuously, except for brief times for maintenance or repair. The module is replaced routinely every 30 days (720 hours), unless failure occurs. If successive units fail independently, what is the probability of no breakdown due to the module for one year?

Pfeiffer, Applied Probability, 9.2 Problems on Independent Classes of Random Variables, exercise 15

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