
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 a random variable $X$ that follows the normal distribution $N(3, \frac{1}{4})$, and $P(X > \frac{7}{2}) = 0.1587$, calculate the probability $P(\frac{5}{2} \leq X \leq \frac{7}{2})$.

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