Im a random sample of 400 watches, 3 are defective. Out of a total of 10,500 watches, how many would you expect to be defective based on this sample data

1 answer

To calculate the expected number of defective watches out of the total of 10,500 based on the sample data, we can use the proportion of defective watches from the random sample.

Proportion of defective watches in the random sample = (3/400) = 0.0075

Expected number of defective watches in the total of 10,500 = Proportion of defective watches * Total number of watches
= 0.0075 * 10,500
= 78.75

Therefore, based on the sample data, we would expect approximately 79 watches out of the total of 10,500 to be defective.