Question: Your production line has an automatic scanner to detect defects. In recent production, 2% of items have been defective. Given that an item is defective,

Your production line has an automatic scanner to detect defects. In recent production, 2% of items have been defective. Given that an item is defective, the scanner has a 90% chance of identifying it as defective. Of the nondefective items, the scanner has a 90% chance of identifying it correctly as nondefective. Given that the scanner identifies a part as defective, find the conditional probability that the part is truly defective.

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