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 0.9% of the items its line produces are nonconforming. If an item selected at random is classified as non-defective, what is the probability that it is indeed good? Let D and G denote the item as defective and good, respectively. a. P(G|D') = 0.9999 O b. P(D') = 0.986 c. None among the choices O d. P(D'IG) = 0.995

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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 0.9% of the items its line produces are nonconforming. If an item
selected at random is classified as non-defective, what is the probability that it is indeed good?
Let D and G denote the item as defective and good, respectively.
a. P(G|D') = 0.9999
b. P(D') = 0.986
O c. None among the choices
O d. P(D'IG) = 0.995
Transcribed Image Text: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 0.9% of the items its line produces are nonconforming. If an item selected at random is classified as non-defective, what is the probability that it is indeed good? Let D and G denote the item as defective and good, respectively. a. P(G|D') = 0.9999 b. P(D') = 0.986 O c. None among the choices O d. P(D'IG) = 0.995
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