The lifetime of plasma and LCD TV sets follows an exponential distribution with a mean

Chapter 0, Problem 38

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QUESTION:

The lifetime of plasma and LCD TV sets follows an exponential distribution with a mean of 100,000 hours. Compute the probability a television set: a. Fails in less than 10,000 hours. b. Lasts more than 120,000 hours. c. Fails between 60,000 and 100,000 hours of use. d. Find the 90th percentile. So 10 percent of the TV sets last more than what length of time?

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QUESTION:

The lifetime of plasma and LCD TV sets follows an exponential distribution with a mean of 100,000 hours. Compute the probability a television set: a. Fails in less than 10,000 hours. b. Lasts more than 120,000 hours. c. Fails between 60,000 and 100,000 hours of use. d. Find the 90th percentile. So 10 percent of the TV sets last more than what length of time?

ANSWER:

Step 1 of 5

The mean lifetime of TV is  hours. This implies

Let  be the failing time.

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