Question

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

Answer 1

40 products were likely to be defective.

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 =

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% = (3000).(1.33) over 100

Therefore 40 products were likely to be defective.

Answer 2

40

Explanation:

Write and solve a proportion:

2 / 150 = x / 3000

150x = 6000

x = 40