A manufacturer guarantees a product for 1 year. The lifespan of the product after it is sold is giver 0.01e ift 20 -0.011t 0 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.)

A manufacturer guarantees a product for 1 year. The lifespan of the product after it is sold is giver 0.01e ift 20 -0.011t 0 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.)

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.3: Special Probability Density Functions

Problem 43E

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Question

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. ( See attachment) 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 manufacturer guarantees a product for 1 year. The lifespan of the product after it is sold is giver
0.01e
ift 20
-0.011t
0
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.)

Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.

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