In a batch of 8000 clock radios 6 are defective A sample of

In a batch of 8000 clock radios 6% are defective. A sample of 5 clock radios is randomly selected without replacement from the 8000 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?

Solution

P(at least one is defective) = 1 - P(none is defective)

Thus,

P(at least one is defective) = 1 - P(none is defective)

= 1 - (1-0.06)^5

= 0.266095978 [ANSWER]