A certain electronic component for x-ray equipment is produced in batches of 25 units. Acceptance sampling is performed by the buyer to protect himself from batches that come from a process with an unacceptable number of defective components. The sampling consists of the following: From the batch of 25 units, 5 units are drawn at random, without replacement, and their operation is tested. If neither part fails, the lot is accepted. If there were 2 defective units among the 25 pieces in the lot, what is the probability of accepting the lot? The lot is accepted if none of the 5 units in the sample it is defective. If the lot were 150 units and has 15 defective units and the rule is still to take a sample of 5, what would be the probability of not taking any defective in the sample of 5?
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