
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 $Z \sim N(\mu :{{\sigma }^{2}})$, then $P(\mu - \sigma < z \leqslant \mu + \sigma) = 0.6826$, $P(\mu - 2\sigma < z \leqslant \mu + 2\sigma) = 0.9544$. If the random variable $X \sim N(6, 4)$, find $P(2 < X \leqslant 8)$.

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