SOLUTION: WidgCo is a company that manufactures widgets. It is known that 1 out of every 57 widgets that the company produces is defective. A batch of 150 widgets is produced. Find the ex

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Question 1154376: WidgCo is a company that manufactures widgets. It is known that 1 out of every 57 widgets that the company produces is defective. A batch of 150 widgets is produced.
Find the expected number of defective widgets in the batch.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Answer: 3 widgets

To get this answer, multiply 1/57 by the total number of widgets 150 to get (1/57)*150 = 2.63157894736842 which rounds to 3 widgets

Note how
2/150 = 0.01333
1/57 = 0.01754
3/150 = 0.02000

So we see that 2/150 < 1/57 < 3/150
which is another way of saying that the answer is somewhere between 2 and 3 widgets. Though it makes no sense to talk about a fractional portion of a widget, which is why we round to the nearest whole number.