Question

Lamps are made in a factory.

A random sample of 50 of the lamps is tested and 4 of them are found to be faulty.
A total of 4000 lamps is made in one day.
Calculate the number of these 4000 lamps you would expect to be faulty.

Answer 1

To solve this problem, we will use the concept of proportion. We can assume that the proportion of faulty lamps in the sample of 50 is the same as the proportion of faulty lamps in the total production of 4000 lamps.

The proportion of faulty lamps in the sample of 50 is:

4/50 = 0.08

So, we can assume that 8% of the total production of 4000 lamps will be faulty.

To calculate the number of faulty lamps in the total production, we can multiply 8% by the total number of lamps:

0.08 x 4000 = 320

Therefore, we would expect 320 lamps out of the total production of 4000 lamps to be faulty.

Explanation: