
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Based on the frequency distribution of the sample with classes $[11.5,15.5)$, $[15.5,19.5)$, $[19.5,23.5)$, $[23.5,27.5)$, $[27.5,31.5)$, $[31.5,35.5)$, $[35.5,39.5)$, $[39.5,43.5)$ having frequencies 2, 4, 9, 18, 11, 12, 7, 3 respectively, estimate the probability of the data falling within the interval $[31.5,43.5)$.

Present the answer in LaTex format: \boxed{Your answer}
user