Problem

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
$\begin{array}{lcccc}\text { Televisions } & 0 & 1 & 2 & 3 \\ \text { Households } & 26 & 406 & 684 & 1485 \\ \mathrm{P}(\mathbf{x}) & 0.010 & 0.156 & 0.263 & 0.571\end{array}$
Choose the correct answer below.
A. It would be unusual becayse the probability of having no HD televisions is less than 0.05 .
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 26 people have no HD televisions in the town.
D. It would not be unusual because 26 people have no HD televisions in the town.

Answer

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Answer

\(\boxed{\text{Therefore, it would be unusual for a household to have no HD televisions.}}\)

Steps

Step 1 :Given the data, we are asked to determine whether it would be unusual for a household to have no HD televisions.

Step 2 :The probability of a household having no HD televisions is given as 0.010.

Step 3 :Generally, an event is considered unusual if its probability is less than 0.05.

Step 4 :Comparing the given probability with 0.05, we find that 0.010 is less than 0.05.

Step 5 :\(\boxed{\text{Therefore, it would be unusual for a household to have no HD televisions.}}\)

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