Questions: 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 78 491 712 1318 P(x) 0.030 0.189 0.274 0.507 Choose the correct answer below. A. It would not be unusual because 78 people have no HD televisions in the town. B. It would be unusual because the probability of having no HD televisions is less than 0.05. C. It would not be unusual because the probability of having no HD televisions is more than 0.05. D. It would be unusual because 78 people have no HD televisions in the town.

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 78 491 712 1318 P(x) 0.030 0.189 0.274 0.507 Choose the correct answer below. A. It would not be unusual because 78 people have no HD televisions in the town. B. It would be unusual because the probability of having no HD televisions is less than 0.05. C. It would not be unusual because the probability of having no HD televisions is more than 0.05. D. It would be unusual because 78 people have no HD televisions in the town.
Transcript text: 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 \begin{tabular}{lcccc} Televisions & $\mathbf{0}$ & $\mathbf{1}$ & $\mathbf{2}$ & $\mathbf{3}$ \\ Households & 78 & 491 & 712 & 1318 \\ $\mathrm{P}(\mathrm{x})$ & 0.030 & 0.189 & 0.274 & 0.507 \end{tabular} Choose the correct answer below. A. It would not be unusual because 78 people have no HD televisions in the town. B. It would be unusual because the probability of having no HD televisions is less than 0.05. C. It would not be unusual because the probability of having no HD televisions is more than 0.05. D. It would be unusual because 78 people have no HD televisions in the town.
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Solution

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Solution Steps

Step 1: Understanding the Problem

We are given data about the number of HD televisions per household in a small town. The task is to determine whether it would be unusual for a household to have no HD televisions. We are provided with the probability distribution of the number of HD televisions per household.

Step 2: Analyzing the Probability

The probability of a household having no HD televisions is given as \( P(0) = 0.030 \).

Step 3: Determining Unusualness

A common threshold for determining if an event is unusual is a probability of less than 0.05. Since the probability of a household having no HD televisions is 0.030, which is less than 0.05, it would be considered unusual.

Final Answer

The correct answer is \(\boxed{\text{B}}\).

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