A manufacturer received an order of 250 computer chips. Unfortunately, 12 of the chips are defective. To

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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.

(a) What is the probability of obtaining four defective chips?

(b) What is the probability of obtaining three defective chips?

(c) What is the probability that the quality-control engineer will not find any defective chips?

(d) What is the probability of obtaining 14 defective chips?

(e) How many defective chips would you expect to select?

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