Question

A certain electronic component for x-ray equipment is produced in batches of 20 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 20 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 20 pieces in the lot, what is the probability of accepting the lot? The lot is accepted if there is no 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?

Answer 1

Probability of accepting lot when there is 2 defective in sample of 20 is 0.59049

probability of not taking defective unit when there is 15 defective in sample of 150 is 0.59049

Complete solution is given in attached image:

Thank You.