d) A product contains three lasers, and the product fails if any of the lasers fails. Assume the lasers fail independently. What should the

Question

d) 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 for 99% of the products to exceed 10000 hours before failure

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Thiên Ân 2 weeks 2021-07-22T20:59:35+00:00 1 Answers 2 views 0

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    2021-07-22T21:00:39+00:00

    Solution :

    Let the probability laser works = p

    The probability that the system works = $P(\text{all three component works}) = p^3 $

                                                                                                                       = 0.99

    Therefore, p = 0.9967

    Now for the above probability critical z = -2.72

    Hence, the mean life is equal to = 10,000 + 2.72 \times 600

                                                         = 10,000+1632

                                                         =11,632

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