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An inspector working for a manufacturing company has a 99% chance of correctly identifying defective items and a 0

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An inspector working for a manufacturing company has a 99% chance of correctly identifying defective items and a 0.5% chance of incorrectly classifying a good item as defective. The company has evidence that its line produces 0.9% of nonconforming items.

(a) What is the probability that an item selected for inspection is classified as defective?

(b) If an item selected at random is classified as non-defective, what is the probability that it is indeed good?