In a batch of 8,000 clock radios 9% are defective. A sample of 15 clock radios is randomly selected without replacement from the 8,000 and tested. The entire batch will be rejected if at least one of those tested is defective. What is the probability that the entire batch will be rejected?
A)0.243
B)0.0900
C)0.0667
D)0.757

Question

Quizplus · Accepted Answer

The probability that a single radio is not defective is 91% (0.91). The probability that all 15 radios are not defective is 0.91^15. Therefore, the probability that at least one is defective is 1 - 0.91^15, which is approximately 0.757.

In a Batch of 8,000 Clock Radios 9% Are Defective