Back to 7.3 Problems on Distribution and Density Functions

7.3 Exercise 24

Avg difficulty 2.5

Twenty “identical” units are put into operation. They fail independently. The times to failure (in hours) form an iid class, exponential (0.0002). This means the “expected” life is 5000 hours. Determine the probabilities that at least k, for k=5,8,10,12,15k = 5 , 8 , 10 , 12 , 15, will survive for 5000 hours.

Pfeiffer, Applied Probability, 7.3 Problems on Distribution and Density Functions, exercise 24

AI Tutor

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