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)
To find the number of defective watches expected based on the sample data, we can use the concept of proportion.
Let's assume that the proportion of defective watches in the sample is representative of the entire population.
Therefore, the proportion of defective watches in the sample is 3/400 or 0.0075.
To find the expected number of defective watches in the total population, we can multiply this proportion by the total number of watches.
Expected number of defective watches = Proportion of defective watches * Total number of watches
Expected number of defective watches = 0.0075 * 10,500
Expected number of defective watches = 78.75
Therefore, based on this sample data, we would expect approximately 78.75 watches to be defective out of a total of 10,500 watches.