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A product is assembled using 10 different components, each of which must meet specications for five different quality characteristics. Suppose that there is a 0.9973 probability that each individual specication will be met.

(a) Assuming that all 50 specications are met independently, find the probability that the product meets all 50 specications.

(b) Suppose that we wish to have a 99.73 percent chance that all 50 specications will be met. If each specification will have the same chance of being met, how large must we make the probability of meeting each individual specification?

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Category:- Statistics and Probability
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