\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][tex]$7 \%$[/tex][/tex]
B. [tex][tex]$10 \%$[/tex][/tex]
C. [tex][tex]$25 \%$[/tex][/tex]
D. [tex][tex]$75 \%$[/tex][/tex]



Answer :

To find the joint relative frequency of those in Town 2 who take a summer vacation, follow these detailed steps:

1. Identify the relevant data from the table:
- Number of people in Town 2 who take a summer vacation: [tex]\( 345 \)[/tex]
- Total population surveyed: [tex]\( 1,402 \)[/tex]

2. Calculate the joint relative frequency:

[tex]\[ \text{Joint Relative Frequency} = \left( \frac{\text{Number of people in Town 2 who take a summer vacation}}{\text{Total population}} \right) \times 100 \][/tex]

Substituting the given values:

[tex]\[ \text{Joint Relative Frequency} = \left( \frac{345}{1402} \right) \times 100 \][/tex]

3. Compute the result:

[tex]\[ \text{Joint Relative Frequency} \approx 24.607703281027106 \][/tex]

4. Round the result to the nearest percent:

[tex]\[ \text{Joint Relative Frequency (Rounded)} \approx 25\% \][/tex]

Thus, the joint relative frequency of those in Town 2 who take a summer vacation, rounded to the nearest percent, is:

[tex]\[ \boxed{25\%} \][/tex]