Question

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

\

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

find the probability of reading 1 book.

\\(p(1) = \quad\\%\\)

round your answer to the nearest whole percent.

Explanation:

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"concepts_used": [
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"new_concepts": [
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</pre_analysis>

<reasoning>

Calculate the total frequency

\[
\text{Total Frequency} = 7 + 14 + 9 + 4 = 34
\]

Calculate the experimental probability of reading 1 book

\[
P(1) = \frac{7}{34} \approx 0.20588
\]

Convert to percentage and round to the nearest whole percent

\[
P(1) \approx 20.588\% \approx 21\%
\]
</reasoning>

<answer>
Find the probability of reading 1 book.

\(P(1) =\) <blank>21</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": [
"Experimental Probability",
"Relative Frequency"
],
"new_concepts": [
"Probability Distributions"
],
"current_concepts": [
"Experimental Probability",
"Relative Frequency",
"Probability Distributions"
]
}
</pre_analysis>

<reasoning>

Calculate the total frequency

\[
\text{Total Frequency} = 7 + 14 + 9 + 4 = 34
\]

Calculate the experimental probability of reading 1 book

\[
P(1) = \frac{7}{34} \approx 0.20588
\]

Convert to percentage and round to the nearest whole percent

\[
P(1) \approx 20.588\% \approx 21\%
\]
</reasoning>

<answer>
Find the probability of reading 1 book.

\(P(1) =\) <blank>21</blank>%
</answer>

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