
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]


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Leishan Xijiang Qianhu Miao Village in Qiandongnan Prefecture is currently the largest Miao village in China and even in the world, attracting tourists from all over the world throughout the year. Suppose the number of tourists visiting Xijiang Miao Village per day, $\xi$, follows a normal distribution $N(2000, 10000)$. The probability that the number of tourists exceeds 2100 per day is \_\_\_\_\_\_ . (Reference data: If $\xi$ follows $N(\mu, \sigma^2)$, then $P(\mu-\sigma<\xi\leq\mu+\sigma)=0.6826$, $P(\mu-2\sigma<\xi\leq\mu+2\sigma)=0.9544$, $P(\mu-3\sigma<\xi\leq\mu+3\sigma)=0.9974$)

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