Find probability of meeting each individual specification

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A product is assembled using 10 diff erent components, each of which must meet speci cations for fi ve diff erent quality characteristics. Suppose that there is a 0.9973 probability that each individual speci cation will be met.

(a) Assuming that all 50 speci cations are met independently, fi nd the probability that the product meets all 50 speci cations.

(b) Suppose that we wish to have a 99.73 percent chance that all 50 speci cations 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 specifi cation?

Reference no: EM13144984

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