in a random sample of 400 watches three are defected out of a total of 10,500 watches how many would you expect to be defective based on the sample data?

Answer 1

To find the expected number of defective watches based on the sample data, we can set up a proportion:

(3 defective watches) / (400 total watches) = x defective watches / 10,500 total watches

Solving for x gives:

x = (3/400) * 10,500
x = 78.75

Therefore, based on the sample data, we would expect approximately 78.75 watches out of the 10,500 total watches to be defective. Since you can't have a fraction of a watch, we can round up to 79 defective watches.