6. [2] 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. f(t) = {0. (0.01e if t≥ 0 otherwise ,-0.012t What is the probability that a buyer chosen at random will have a product failure: a) During the warranty? Round answer to three decimal places.
6. [2] 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. f(t) = {0. (0.01e if t≥ 0 otherwise ,-0.012t What is the probability that a buyer chosen at random will have a product failure: a) During the warranty? Round answer to three decimal places.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![6. [2] 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.
f(t) =
(0.01e-0.012t ift 20
otherwise
What is the probability that a buyer chosen at random will have a product failure:
a) During the warranty? Round answer to three decimal places.
b) During the second year after purchase? Round answer to three decimal places.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4f5950ed-20d1-40a9-a496-d7afad26165a%2F71202ee2-64d6-4b41-9b9e-9a3b0357c49b%2Fol7q65a_processed.jpeg&w=3840&q=75)
Transcribed Image Text:6. [2] 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.
f(t) =
(0.01e-0.012t ift 20
otherwise
What is the probability that a buyer chosen at random will have a product failure:
a) During the warranty? Round answer to three decimal places.
b) During the second year after purchase? Round answer to three decimal places.
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