Question

In a batch of 8000 clock radios 5% are defective. A sample of 13 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

Answer 1

Answer:

Step-by-step explanation:

P(A)=1−P(not A)

We can use this here. Event A is that the clock is defective, so Event (not A) means the clock works.

0.02=1−P(not A)

P(not A)=0.98

Therefore, for all the clocks to pass, the probability is P(not A)11.

Now again, we can use complementary counting.

(probability of all clocks failing) = 1 - (probability of all clocks passing)

Probability of all clocks failing = 1−P(not A)11