Question

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: 78, 411, 681, 1430
p(x): 0.030, 0.158, 0.262, 0.550

choose the correct answer below.
a. it would not be unusual because 78 people have no hd televisions in the town.
b. it would not be unusual because the probability of having no hd televisions is more than 0.05.
c. it would be unusual because 78 people have no hd televisions in the town.
d. it would be unusual because the probability of having no hd televisions is less than 0.05.

Explanation:

Identify the probability of having no HD televisions

$$ P(x = 0) = 0.030 $$

Compare the probability to the threshold for unusual events

$$ 0.030 < 0.05 $$

Determine if the event is unusual

An event is considered unusual if its probability is less than or equal to \(0.05\). Since \(0.030 < 0.05\), it is unusual because the probability of having no HD televisions is less than \(0.05\).

Answer:

• A. It would not be unusual because 78 people have no HD televisions in the town.
• B. It would not be unusual because the probability of having no HD televisions is more than 0.05.
• C. It would be unusual because 78 people have no HD televisions in the town.
• D. It would be unusual because the probability of having no HD televisions is less than 0.05. (Correct answer)