In 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?

Answer 1

Based on the proportion of defective watches in the random sample (3 out of 400), we can calculate the expected number of defective watches in the total of 10,500 watches.

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

Expected number of defective watches in 10,500 watches:
0.0075 x 10,500 = 78.75

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

Answer 2

incorrect

Answer 3

I apologize for my mistake. Let's correct that.

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

Expected number of defective watches in 10,500 watches:
0.0075 x 10,500 = 78.75

Rounded to the nearest whole number, we would expect 79 watches to be defective out of a total of 10,500 watches based on the sample data.