A TV manufacturing company is planning to launch a new type of product recently. To check the lifespan status of their previous products they conduct a study. And they found that the lifetime of their previous products (plasma 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?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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A TV manufacturing company is planning to launch a new type of product recently. To check the
lifespan status of their previous products they conduct a study. And they found that the lifetime
of their previous products (plasma 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?
Transcribed Image Text:A TV manufacturing company is planning to launch a new type of product recently. To check the lifespan status of their previous products they conduct a study. And they found that the lifetime of their previous products (plasma 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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