Find the indicated probability. Round to the nearest thousandth.
-In a batch of 8,000 clock radios 7% are defective. A sample of 5 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) 0.200
B) 0.696
C) 0.0700
D) 0.304

Question

Quizplus · Accepted Answer

The probability that the entire batch will be rejected is the complement of the probability that none of the 5 selected radios are defective. The probability that a single radio is not defective is 0.93. The probability that all 5 radios are not defective is (0.93)^5. Therefore, the probability that at least one is defective is 1 - (0.93)^5 = 0.304.

Find the Indicated Probability