Question

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

find the probability of reading 2 books.

\\(p(2) = \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",
"tutor",
"mastery_adaptive_brevity"
],
"needs_drawing": false,
"concepts_used": [
"Relative Frequency",
"Probability Distributions"
],
"new_concepts": [],
"current_concepts": [
"Relative Frequency",
"Probability Distributions"
]
}
</pre_analysis>

<reasoning>

Calculate the total frequency

Using the Relative Frequency and Probability Distributions knowledge points
\[
\text{Total Frequency} = 7 + 14 + 9 + 4 = 34
\]

Calculate the probability of reading 2 books

Using the Relative Frequency and Probability Distributions knowledge points
\[
P(2) = \frac{14}{34} \approx 0.41176
\]

Convert to percentage and round

Using the Relative Frequency and Probability Distributions knowledge points
\[
P(2) \approx 41.176\% \approx 41\%
\]
</reasoning>

<answer>
Find the probability of reading 2 books.

\(P(2) =\) <blank>41</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",
"tutor",
"mastery_adaptive_brevity"
],
"needs_drawing": false,
"concepts_used": [
"Relative Frequency",
"Probability Distributions"
],
"new_concepts": [],
"current_concepts": [
"Relative Frequency",
"Probability Distributions"
]
}
</pre_analysis>

<reasoning>

Calculate the total frequency

Using the Relative Frequency and Probability Distributions knowledge points
\[
\text{Total Frequency} = 7 + 14 + 9 + 4 = 34
\]

Calculate the probability of reading 2 books

Using the Relative Frequency and Probability Distributions knowledge points
\[
P(2) = \frac{14}{34} \approx 0.41176
\]

Convert to percentage and round

Using the Relative Frequency and Probability Distributions knowledge points
\[
P(2) \approx 41.176\% \approx 41\%
\]
</reasoning>

<answer>
Find the probability of reading 2 books.

\(P(2) =\) <blank>41</blank>%
</answer>

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