
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 $Z\sim N(\mu, \sigma^2)$, then $P(\mu-\sigma < Z < \mu+\sigma)=0.6826$, $P(\mu-2\sigma < Z < \mu+2\sigma)=0.9544$. If $X\sim N(5,1)$, then calculate $P(6 < X < 7)$.

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