A manufacturer guarantees a product for 1 year. The lifespan of the product after it is sold is given by the probability density function below, where t is time in months. 0.008e - 0.011t if t20 f(t) = . otherwise What is the probability that a buyer chosen at random will have a product failure (A) During the warranty? (B) During the second year after purchase? ...

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.2: Probability
Problem 3E: The conditional probability of E given that F occurs is P(EF)=___________. So in rolling a die the...
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A manufacturer guarantees a product for 1 year. The lifespan of the product after it is sold is given by the probability
density function below, where t is time in months.
0.008e
- 0.011t
if t20
f(t) =
otherwise
What is the probability that a buyer chosen at random will have a product failure
(A) During the warranty?
(B) During the second year after purchase?
...
(A) What is the probability that the product will fail within one year?
(Round to three decimal places as needed.)
(B) What is the probability that the product will fail during the second year after purchase?
(Round to three decimal places as needed.)
Transcribed Image Text:A manufacturer guarantees a product for 1 year. The lifespan of the product after it is sold is given by the probability density function below, where t is time in months. 0.008e - 0.011t if t20 f(t) = otherwise What is the probability that a buyer chosen at random will have a product failure (A) During the warranty? (B) During the second year after purchase? ... (A) What is the probability that the product will fail within one year? (Round to three decimal places as needed.) (B) What is the probability that the product will fail during the second year after purchase? (Round to three decimal places as needed.)
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