Question: Using the data given below, determine whether it would unusual for a household to have no HD…

Using the data given below, determine whether it would unusual for a household to have no HD televisions.

The number of televisions (HD) per household in a small town

Televisions	0	1	2	3
Households	26	439	686	1448
P(x)	0.010	0.169	0.264	0.557

Choose the correct answer below:

A. It would be unusual because 26 people have no HD televisions in the town.

B. It would not be unusual because 26 people have no HD televisions in the town.

C. It would be unusual because the probability of having no HD televisions is less than 0.05.

D. It would not be unusual because the probability of having no HD televisions is more than 0.05.

Solution

To determine whether it would be unusual for a household to have no HD televisions, we look at the probability associated with having 0 televisions. From the data: Probability of having 0 HD televisions, \( P(x = 0) = 0.010 \). A probability less than 0.05 is typically considered unusual. Thus, the correct answer is: C. It would be unusual because the probability of having no HD televisions is less than 0.05.