Question

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) awnser

Answer 1

[AI-generated answer — Bot GPT 3.5]

Based on the sample data, we can calculate the proportion of defective watches in the sample:

Proportion of defective watches in the sample = Number of defective watches / Total number of watches in the sample
= 3 / 400
= 0.0075

Now, we can use this proportion to estimate the number of defective watches out of a total of 10,500 watches:

Number of expected defective watches = Proportion of defective watches in the sample * Total number of watches
= 0.0075 * 10,500
= 78.75

Therefore, based on this sample data, you would expect approximately 78.75 watches out of 10,500 to be defective. Since we cannot have a fraction of a watch, we can estimate that there would be about 79 defective watches.