Question

With one method of a procedure called acceptance sampling, a sample of items is randomly selected without replacement and the entire batch is rejected if there is at least one defective unit. The ABCD Electronics Company has just manufactured 6500 write-rewrite CDs, and 110 are defective. If 6 of these 6500 CDs are randomly selected and tested, what is the probability that the entire batch will be rejected

Answer 1

0.097 is the probability that the entire batch will be rejected

Explanation:

The total number of CDs = 6500

Number of defective CDs = 110

Number of good CDs = 6500-110 = 6390

Out of this batch, 6 are randomly selected, then the probability that the entire batch is rejected is

1 – [probability of accepting the entire batch]

1 – [6390/6500 * 6389/6499*6388/6498*6387/6497*6386/6496*6385/6495]

= 0.097