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?

Question

Ciara Ingram

Mathematics

27 August, 06:01

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?

+5

Answers (2)

Know the Answer?

Brenton Campbell · Answer 1

40

Step-by-step explanation:

Write and solve a proportion:

2 / 150 = x / 3000

150x = 6000

x = 40

Jakob Hobbs · Answer 2

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 =

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.