Suppose a product can be either good with a probability 90%, or defective with a

Question

Suppose a product can be either good with a probability 90%, or defective with a probability 10%. Each unit of product is inspected. There is a 99% probability of correctly identifying defective item, and there is a 0.5% probability of incorrectly classifying a good item as defective. Find probability that an item is classified as defective after inspection Find probability that an item is actually good, if it is classified as good after inspection Find probability that an item is actually defective, if it is classified as defective after inspection

Explanation / Answer

a) 0.99+0.05=0.995

b) 0.90*0.99=0.89

c) 0.1*0.99=0.1

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