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 4500 write-rewrite CDs, and 150 are defective. If 4 of these CDs are randomly selected and tested, what is the probability that the entire batch will be rejected

0.1269 = 12.69% probability that the entire batch will be rejected.

Step-by-step explanation:

CD's are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

is the number of different combinations of x objects from a set of n elements, given by the following formula.

In this question:

4500 CDs, which means that

150 defective, which means that

4 are selected, which means that

What is the probability that the entire batch will be rejected?

At least 1 defective, which is:

In which

So

0.1269 = 12.69% probability that the entire batch will be rejected.

no problobm

step-by-step explanation:

the answer is c. 23/3