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Which is the joint relative frequency for school children who plan to attend camp and have swimming lessons? Round the answer to the nearest percent.

[tex]\[
\begin{tabular}{|c|c|c|c|}
\hline
& Camp & No Camp & Total \\
\hline
Swimming Lessons & 42 & 32 & 74 \\
\hline
No Swimming Lessons & 18 & 4 & 22 \\
\hline
Total & 60 & 36 & 96 \\
\hline
\end{tabular}
\][/tex]

A. 4%
B. 19%
C. 33%
D. 44%


Sagot :

To find the joint relative frequency for school children who plan to attend camp and have swimming lessons, follow these steps:

1. Identify the Given Values:
- The number of students who plan to attend camp and have swimming lessons is given as [tex]\(42\)[/tex].
- The total number of students is given as [tex]\(96\)[/tex].

2. Calculate the Joint Relative Frequency:
- The formula for joint relative frequency is:
[tex]\[ \text{Joint Relative Frequency} = \left( \frac{\text{Number of students who plan to attend camp and have swimming lessons}}{\text{Total number of students}} \right) \times 100 \][/tex]

3. Substitute the Given Values into the Formula:
[tex]\[ \text{Joint Relative Frequency} = \left( \frac{42}{96} \right) \times 100 \][/tex]

4. Perform the Calculation:
- Divide [tex]\(42\)[/tex] by [tex]\(96\)[/tex] to get approximately [tex]\(0.4375\)[/tex].
- Multiply [tex]\(0.4375\)[/tex] by [tex]\(100\)[/tex] to convert it to a percentage. This gives approximately [tex]\(43.75\%\)[/tex].

5. Round to the Nearest Percent:
- The number [tex]\(43.75\)[/tex] rounded to the nearest percent is [tex]\(44\%\)[/tex].

Therefore, the joint relative frequency for school children who plan to attend camp and have swimming lessons, rounded to the nearest percent, is [tex]\(44\%\)[/tex]. The correct answer is:
[tex]\[ \boxed{44\%} \][/tex]