Question

the distribution of books students read in a month is as follows.

\

$$\begin{tabular}{|c|c|c|c|c|} \\hline books & 1 & 2 & 3 & 4 \\\\ \\hline frequency & 7 & 14 & 9 & 4 \\\\ \\hline probability & 21\\% & 41\\% & & 12\\% \\\\ \\hline \\end{tabular}$$

find the probability of reading 3 books.

\\(p(3) = \quad\\%\\)

round your answer to the nearest whole percent.

Explanation:

<pre_analysis>
{
"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"blank_filling_formatter",
"explain_then_answer",
"quick"
],
"needs_drawing": false,
"concepts_used": [
"Probability Distributions",
"Experimental Probability"
],
"new_concepts": [],
"current_concepts": [
"Probability Distributions",
"Experimental Probability"
]
}
</pre_analysis>

<reasoning>

Calculate total frequency

\[
N = 7 + 14 + 9 + 4 = 34
\]

Calculate probability of reading 3 books

\[
P(3) = \frac{9}{34} \approx 0.2647
\]

Convert to percentage and round

\[
P(3) \approx 26.47\% \approx 26\%
\]
</reasoning>

<answer>
Find the probability of reading 3 books.

\(P(3) =\) <blank>26</blank>%
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Statistics",
"Probability Distributions"
]
}
</post_analysis>

Answer:

<pre_analysis>
{
"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"blank_filling_formatter",
"explain_then_answer",
"quick"
],
"needs_drawing": false,
"concepts_used": [
"Probability Distributions",
"Experimental Probability"
],
"new_concepts": [],
"current_concepts": [
"Probability Distributions",
"Experimental Probability"
]
}
</pre_analysis>

<reasoning>

Calculate total frequency

\[
N = 7 + 14 + 9 + 4 = 34
\]

Calculate probability of reading 3 books

\[
P(3) = \frac{9}{34} \approx 0.2647
\]

Convert to percentage and round

\[
P(3) \approx 26.47\% \approx 26\%
\]
</reasoning>

<answer>
Find the probability of reading 3 books.

\(P(3) =\) <blank>26</blank>%
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Statistics",
"Probability Distributions"
]
}
</post_analysis>