at random and one randomly selected product from that batch is inspected. The inspected product was found conforming and was returned back to its batch. (a) What is the probability that the second product, randomly selected from the same batch, is actually found non-conformng'? (b) Assuming the second product selected is non-conforming, what is the probability it came from batch 2? Hint. This problem uses both Bayes' rule and the law of total probability. The two hypotheses concern the type of batch. For the rst draw the hypotheses are equally likely (the batch is selected at random), but for the second draw, the probabilities of hypotheses are updated by the infonnation on the result of the rst draw via Bayes rule. Updated