In a sample of 77 widgets,6 were defective, How many defective widgets would you expect in a sample of 616 widgets?
6 * 616 / 77 = 3696 / 77 = 48
To determine the expected number of defective widgets in a sample of 616 widgets, we can use the concept of proportionality.
First, let's calculate the proportion of defective widgets in the initial sample of 77 widgets. Divide the number of defective widgets (6) by the total number of widgets in the sample (77):
Proportion of defective widgets = 6/77
Next, we can use this proportion to estimate the expected number of defective widgets in a sample of 616 widgets. Multiply the proportion of defective widgets by the total number of widgets in the new sample:
Expected number of defective widgets = (Proportion of defective widgets) x (Number of widgets in new sample)
Expected number of defective widgets = (6/77) x 616
Now, we can calculate the answer:
Expected number of defective widgets = (6/77) x 616 = 48
Therefore, in a sample of 616 widgets, you would expect approximately 48 defective widgets.