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Statistics / Statistical Techniques in Business and Economics 15 / Chapter 7 / Problem 73

Statistical Techniques in Business and Economics | 15th Edition | ISBN: 9780073401805 | Authors: Douglas Lind, William Marchal, Samuel Wathen

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The times between failures on a personal computer follow an exponential distribution

Chapter 0, Problem 73

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QUESTION:

The times between failures on a personal computer follow an exponential distribution with a mean of 300,000 hours. What is the probability of: a. A failure in less than 100,000 hours? b. No failure in the next 500,000 hours? c. The next failure occurring between 200,000 and 350,000 hours? d. What are the mean and standard deviation of the time between failures?

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QUESTION:

The times between failures on a personal computer follow an exponential distribution with a mean of 300,000 hours. What is the probability of: a. A failure in less than 100,000 hours? b. No failure in the next 500,000 hours? c. The next failure occurring between 200,000 and 350,000 hours? d. What are the mean and standard deviation of the time between failures?

ANSWER:

Step 1 of 5

The times between failures on a personal computer has a mean hours. This implies

Let be the failure time.

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