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, the scanner has a 90% chance of identifying it as defective. Of the nondirective items, the scanner has a 90% chance of identifying it correctly as nondirective. Given that the scanner identifies a part as defective, find the conditional probability that the part is truly defective.