Future Electronics makes compact disc players. Its research department found that the life of the laser beam device is normally distributed, with mean 4500 hours and standard deviation 500 hours. (a) Find the probability that the laser beam device will wear out in 5000 hours or less. (Round your answer to four decimal places.) (b) Future Electronics wants to place a guarantee on the players so that no more than 5% fail during the guarantee period. Because the laser pickup is the part most likely to wear out first, the guarantee period will be based on the life of the laser beam device. How many playing hours should the guarantee cover? (Round your answer down to the nearest hour.) hr

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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Future Electronics makes compact disc players. Its research department found that the life of the laser beam device is normally distributed, with mean 4500 hours and standard deviation 500 hours.

(a) Find the probability that the laser beam device will wear out in 5000 hours or less. (Round your answer to four decimal places.)
(b) Future Electronics wants to place a guarantee on the players so that no more than 5% fail during the guarantee period. Because the laser pickup is the part most likely to wear out first, the guarantee period will be based on the life of the laser beam device. How many playing hours should the guarantee cover? (Round your answer down to the nearest hour.)
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