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Final products are sometimes selected to go through a

Inspecting final products.

Final products are sometimes selected to go through a complete inspection before leaving the production facility. Suppose that 8% of all products made at a particular facility fail to conform to specifications. Furthermore, 55% of all nonconforming items are selected for complete inspection while 20% of all conforming items are selected for complete inspection. Given that a randomly chosen item has gone through a complete inspection, what is the probability the item is nonconforming?

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Mathematics: Final products are sometimes selected to go through a

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