Question

Box I contains 4 defective and 8 non-defective products, whereas box II contains 5 defective and...

Box I contains 4 defective and 8 non-defective products, whereas box II contains 5 defective and 5 non-defective products. An item is randomly chosen from box I and put into box II, and an item is then randomly selected from box II.

a) the probability that the product selected from box II is defective is ?

b) the conditional probability that the transferred item was defective, given that a defective item is selected from box II is?

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Answer #1

The probability that a defective item is selected from box II is the sum of the conditional probabilities that a defective item was chosen from box I, or a non-defective item was chosen

The second part asks the bayesign probability that a defective item was chosen, given that a defective item was drawn out

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