
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 $N(\mu, \sigma^2)$, and $P(\mu - 2\sigma < X \leq \mu + 2\sigma) = 0.9544$, $P(\mu - \sigma < X \leq \mu + \sigma) = 0.6826$. If $\mu = 4$ and $\sigma = 1$, find $P(5 < X < 6)$.

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