Suppose that the time (in hours) required to repair a machine is an exponentially distributed random variable with parameter A = 0.3. What is (a) the probability that a repair takes less than 5 hours? (b) the conditional probability that a repair takes at least 6 hours, given that it takes more than 4 hours?

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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Suppose that the time (in hours) required to repair a machine is an exponentially distributed random variable with parameter A = 0.3. What is
(a) the probability that a repair takes less than 5 hours?
(b) the conditional probability that a repair takes at least 6 hours, given that it takes more than 4 hours?
Transcribed Image Text:Suppose that the time (in hours) required to repair a machine is an exponentially distributed random variable with parameter A = 0.3. What is (a) the probability that a repair takes less than 5 hours? (b) the conditional probability that a repair takes at least 6 hours, given that it takes more than 4 hours?
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