6. The life of a semiconductor laser at a constant power is normally distributed with a mean of 7000 hours and a standard deviation of 600 hours. (a) What is the probability that a laser fails before 5000 hours? (b) What is the life in hours that 95% of the lasers exceed? (c) If three lasers are used in a product and they are assumed to fail independently, what is the probability that all three are still operating after 7000 hours?
6. The life of a semiconductor laser at a constant power is normally distributed with a mean of 7000 hours and a standard deviation of 600 hours. (a) What is the probability that a laser fails before 5000 hours? (b) What is the life in hours that 95% of the lasers exceed? (c) If three lasers are used in a product and they are assumed to fail independently, what is the probability that all three are still operating after 7000 hours?
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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![6. The life of a semiconductor laser at a constant power is normally distributed with a mean of
7000 hours and a standard deviation of 600 hours.
(a) What is the probability that a laser fails before 5000 hours?
(b) What is the life in hours that 95% of the lasers exceed?
(c) If three lasers are used in a product and they are assumed to fail independently, what is the
probability that all three are still operating after 7000 hours?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F880f59e5-67b5-4eb0-af6b-c1255d1d03bd%2Fa8009126-b26a-4f3b-9f05-10dd85ca9df5%2Flsrde7d_processed.jpeg&w=3840&q=75)
Transcribed Image Text:6. The life of a semiconductor laser at a constant power is normally distributed with a mean of
7000 hours and a standard deviation of 600 hours.
(a) What is the probability that a laser fails before 5000 hours?
(b) What is the life in hours that 95% of the lasers exceed?
(c) If three lasers are used in a product and they are assumed to fail independently, what is the
probability that all three are still operating after 7000 hours?
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