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The residents of three towns were polled to find the percentage of residents who take a vacation in the summer or in the winter.

\begin{tabular}{|c|c|c|c|}
\hline & Summer & Winter & Total \\
\hline Town 1 & 567 & 87 & 654 \\
\hline Town 2 & 345 & 102 & 447 \\
\hline Town 3 & 143 & 158 & 301 \\
\hline Total & 1,055 & 347 & 1,402 \\
\hline
\end{tabular}

Which is the joint relative frequency of those in Town 2 who take a summer vacation? Round the answer to the nearest percent.

A. [tex]$70\%$[/tex]


Sagot :

To find the joint relative frequency of residents in Town 2 who take a summer vacation, we need to follow these steps:

1. Identify the number of residents in Town 2 who take a summer vacation. From the provided table, this value is \( 345 \).

2. Determine the total number of residents polled across all towns for either summer or winter vacations. The total number of residents polled is \( 1,402 \).

3. Calculate the joint relative frequency by dividing the number of residents in Town 2 who take a summer vacation by the total number of residents polled, then multiplying the result by 100 to convert it to a percentage.
[tex]\[ \text{Joint relative frequency} = \left(\frac{345}{1,402}\right) \times 100 \][/tex]

4. Use the result to get the unrounded percentage. Here, the joint relative frequency is approximately \( 24.6077 \%\).

5. Round this result to the nearest percent:
[tex]\[ \text{Rounded joint relative frequency} = 25\% \][/tex]

So, the joint relative frequency of those in Town 2 who take a summer vacation is [tex]\( \boxed{25\%} \)[/tex].