The useful life of an electrical component is exponentially distributed with a mean of 4,000 hours. a. What is the probability the circuit will last more than 4,750 hours? b. What is the probability the circuit will last between 4,000 and 4,250 hours? c. What is the probability the circuit will fail within the first 3,750 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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The useful life of an electrical component is exponentially distributed with a mean of 4,000 hours.
a. What is the probability the circuit will last more than 4,750 hours?
b. What is the probability the circuit will last between 4,000 and 4,250 hours?
c. What is the probability the circuit will fail within the first 3,750 hours? 
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