A company ships computer components in boxes that contain 10 items. Assume that the probability of a defective computer component is 0.1. Use the geometric variance to find the variance of defective parts.
A)90
B)0.12345679
C)0
D)8100

Question

Quizplus · Accepted Answer

The variance of a geometric distribution is given by $ \frac{1-p}{p^2} $, where $ p $ is the probability of success (in this case, finding a defective part). Given $ p = 0.1 $, the variance is $ \frac{1-0.1}{0.1^2} = \frac{0.9}{0.01} = 90 $.

A Company Ships Computer Components in Boxes That Contain 10