The lifetime (in years) of a specific television part follows an exponential distribution whose expectation is 6 years. (a) What is the probability that one of these parts will fail before 7.5 years. (b) If one of these parts is still operational after 3.5 years, what is the probability that it will remain operational for another 3 years? Show word count Next ( Previous

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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The lifetime (in years) of a specific television
part follows an exponential distribution whose
expectation is 6 years.
(a) What is the probability that one of these
parts will fail before 7.5 years.
(b) If one of these parts is still operational after
3.5 years, what is the probability that it will
remain
operational for another 3 years?
Show word count ▼
Next
( Previous
Transcribed Image Text:The lifetime (in years) of a specific television part follows an exponential distribution whose expectation is 6 years. (a) What is the probability that one of these parts will fail before 7.5 years. (b) If one of these parts is still operational after 3.5 years, what is the probability that it will remain operational for another 3 years? Show word count ▼ Next ( Previous
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