Final answer:
To find the number of defective bulbs in a sample of 1288 light bulbs, you can use the proportion of defective bulbs from the given sample.
Step-by-step explanation:
To find the number of defective bulbs that would be expected in a sample of 1288 light bulbs, we can use the proportion of defective bulbs from the given sample.
Proportion of defective bulbs = (number of defective bulbs / total number of bulbs)
So, in the given sample of 184 light bulbs, there are 6 defective bulbs. Therefore, the proportion of defective bulbs is:
Proportion of defective bulbs = 6 / 184
Now, we can use this proportion to find the expected number of defective bulbs in a sample of 1288 light bulbs:
Expected number of defective bulbs = (proportion of defective bulbs) * (total number of bulbs)
Expected number of defective bulbs = (6 / 184) * 1288
Therefore, the expected number of defective bulbs in a sample of 1288 light bulbs is approximately 41.91.