The life of a semiconductorlaser at a constant power is normally distributed wit

Question

The life of a semiconductorlaser at a constant power is normally distributed with a mean of7000 hours and a standard deviation of 600 hours.
a. What is the probability that a laser fails before 5,800hours?
b. What is the life in hours that 90% of the lasers exceed?
c. What should the mean life equal in order for 99% of the lasersto exceed 10,000 hours before failure?
d. A product contains three lasers, and the product fails if any ofthe lasers fails. Assume the lasers fail independently. What shouldthe mean life equal in order for 99% of the products to exceed10,000 hours before failure? The life of a semiconductorlaser at a constant power is normally distributed with a mean of7000 hours and a standard deviation of 600 hours.
a. What is the probability that a laser fails before 5,800hours?
b. What is the life in hours that 90% of the lasers exceed?
c. What should the mean life equal in order for 99% of the lasersto exceed 10,000 hours before failure?
d. A product contains three lasers, and the product fails if any ofthe lasers fails. Assume the lasers fail independently. What shouldthe mean life equal in order for 99% of the products to exceed10,000 hours before failure?

Explanation / Answer

mean , = 7000 hours standard deviation , = 600 hours. a. the probability that a laser fails before 5,800 hours=P(Z

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