Future Electronics makes compact disc players. Its research department found that the life of the laser beam device is normally distributed, with mean 5260 hours and standard deviation 400 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 13% 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

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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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 5260 hours and standard deviation 400 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 13% 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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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,