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Question:

An industrial hoist is being used in an emergency job where the weight exceeds the design?

limits of 2 of its components, For the amount of weight being lifted, the probability that the upper attachment hook will fail is 0.20. The probability that the lower hook will fail is 0.10. What is the probability that the hoisting job will be successfully completed? I got 70%. Just seems to simple to be correct. Thanks

Answer:

assuming independence of failures, P(successful) = P(neither fail) = 0.8*0.9 = 0.72 ------

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