Question

WidgCo is a company that manufactures widgets. It is known that 1 out of every 48 widgets that the company produces is defective. A batch of 150 widgets is produced. Find the mean (average) number of defective widgets in a batch of 150 widgets.

Answer 1

Answer: 3.125

Step-by-step explanation:

Given: Proportion of defective widgets = $p=\dfrac{1}{48}$

sample size : n= 150

Widgets either defective or not so it will follow binomial distribution.

Since . Mean = np

The mean (average) number of defective widgets in a batch of 150 widgets

$=150\times\dfrac{1}{48}\\\\=3.125$

Hence, the mean (average) number of defective widgets in a batch of 150 widgets =3.125