
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
Given that the random variable $X$ follows a normal distribution $N(3, \frac{1}{4})$, and $P(X > \frac{7}{2})=0.1587$, determine the value of $P(\frac{5}{2} \leqslant X \leqslant \frac{7}{2})$.

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