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Question
A product contains three lasers, and the product fails if any of the lasers fails. Assume the lasers fail independently. What should the mean life equal in order for 99% of the products to exceed 10,000 hours before failure?
Solution
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99% of the products exceed a lifetime of 10000, while a product fails when at least one of the lasers fail.
Assuming that the lasers fail independently, it is safe to assume that they are independent and thus it is appropriate to use the for independent events:
Let us take the cubic root of each side of the previous equation:
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