5.82 Defective Flash Drives A manufacturer of flash drives ships them in lots of 1200 drives per lot. Before shipment, 20 drives are randomly selected from each lot and tested. If none is defective, the lot is shipped. If one or more are defective, every drive in the lot is tested.

a. What is the probability distribution for x, the num- ber of defective drives in the sample of 20?

b. What distribution can be used to approximate prob- abilities for the random variable X in part a?

c. What is the probability that a lot will be shipped if it contains 10 defectives? 20 defectives? 30 defectives?