
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 $X$ follows a normal distribution $N\left( \mu ,\sigma^{2} \right)$, and $P\left( \mu -2\sigma < X < \mu +2\sigma \right)=0.9544$, $P\left( \mu -\sigma < X < \mu +\sigma \right)=0.6826$, where $\mu =4$ and $\sigma =1$, find the probability that $5 < X < 6$.

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