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?(1 point)
watches
To find out how many watches we would expect to be defective based on this sample data, we need to calculate the proportion of defective watches in the sample and then apply it to the total number of watches.
The proportion of defective watches in the sample is 3/400 = 0.0075.
Now, we can apply this proportion to the total number of watches:
Number of defective watches = proportion of defective watches * total number of watches
Number of defective watches = 0.0075 * 10,500
Number of defective watches = 78.75
Therefore, we would expect approximately 78.75 watches to be defective based on this sample data.