A quality control technician checked a sample of 30 bulbs. Two of the bulbs were defective. If the sample was representative, find the number of bulbs expected to be defective in a case of 450.

Question

A quality control technician checked a sample of 30 bulbs. Two of the bulbs were defective. If the sample was representative, find the number of bulbs expected to be defective in a case of 450.

36

45

24

30

Answer 1

To determine the likelihood of finding defective bulbs in a group of 450, we can first calculate the proportion of defective bulbs in the sample of 30.

Proportion of defective bulbs in the sample = (Number of defective bulbs / Total number of bulbs) = 2/30 = 1/15

Now, we apply this proportion to the total number of bulbs in a case of 450.

Expected number of defective bulbs in a case of 450 = (Proportion of defective bulbs) * Total number of bulbs = (1/15) * 450 = 30

Therefore, the expected number of defective bulbs in a case of 450 is 30.