Discount Micros, a computer mail order company, has received 2000 desktop computers from a major manufacturer. Unknown to the mail order company, 250 of the computers have a hard disk that was improperly installed at the factory. A consulting firm purchases 40 computers from Discount Micros.
If the order is filled by random selection from the 2000 computers just received, what is the probability that the shipment to the consulting firm will include no more than 2 defective computers? At least 1, but no more than 3 defective computers?