A factory worker conducted a test on a random sample of 150 products. I love the products tested, 2 were found to have defects. Based on this information, how many products in a batch of 3000 are likely to be defective?

Verified Answer :

so what you would do is 3000 divided by 150 which is 20 then you would multiply 20 by 2 which is 40 so 40 is most likely defective.

Answer:

40 products were likely to be defective.

Step-by-step explanation:

A factory worker conducted a test on a random sample of 150 products out of which 2 were found to be defected.

That means percentage of defective products was = \(\frac{2}{150}\times 100=1.33\)

This concludes that 1.33% products were found to be defective.

Now based on this information we will find defective products in a batch of  3000 products.

Number of defective products = 3000×1.33% =  \(\frac{(3000).(1.33)}{100}=40\)

Therefore 40 products were likely to be defective.