Question

A company produces 5 defective light bulbs in a batch of 250 light bulbs If the company produces 5,000 light bulbs, how many do you predict will be defective?

Answer 1

There is an expected 100 defective lightbulbs

Explanation:

In this question, we are asked to calculate the number of light bulbs we think will be defective given that there are usually 5 out of 250 defectives in a batch.

Now, to adequately account for the number of defective lightbulbs, let’s calculate the proportion of lightbulbs which are defective. From the question, this is a case of 5 out of 250. Hence, the ratio of defective lightbulbs mathematically is 5/250

Now we have a batch of 5,000 produced, to know the total number of defectives expected, we simply multiply the ratio of defectives per batch by the total produced.

Mathematically, this will be;

5/250 * 5,000 = 100

Answer 2

100

Explanation:

Total produced= 5000 bulbs

Defective bulbs= 5 out of every 250 bulbs produced

If 5 out of 250 produced bulb is defective

Then,

Good bulbs= 250-5

=245

If the company produces 5,000 bulbs, how many will be defective?

Total defective bulbs out of 5000 bulbs produced=

Total production/250×5

=5000/250×5

=20×5

=100 bulbs

That is, defective out of 5,000 produced is 100 bulbs