A manufacturer received an order of 250 computer chips. Unfortunately, 12 of the chips are defective. To test the shipment, the quality-control engineer randomly selects 20 chips from the box of 250 and tests them. The random variable X represents the number of defective chips in the sample of 20.

Verify that the following probability experiments represent hypergeometric probability experiments. Then determine the values of N, n, k, and list the possible values of the random variable X.