Question

A factory produced 2,700 toys. An inspector checked 360 toys, and 8 of them had a defect. Based on the inspector’s data, how many of the 2,700 toys are expected to have a defect?

Answer 1

Based on the inspector’s data of finding 8 defects in 360 toys, we can expect 60 out of 2,700 toys to be defective based on a simple proportional calculation.

Step-by-step explanation:

To estimate the number of defective toys from a batch of 2,700, we use the proportion of defects found in the sample checked by the inspector. The inspector found that 8 out of 360 toys were defective. To find the expected number of defective toys in the entire batch, set up a proportion where x represents the expected number of defects in 2,700 toys.

The proportion is:

8 defects / 360 toys = x defects / 2,700 toys

Solving for x we get:

x = (8 defects / 360 toys) * 2,700 toys

x = 60 defects

Therefore, based on the inspector’s data, we would expect 60 of the 2,700 toys to be defective.