
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
If $X \sim N(\mu, \sigma)$, then $P(\mu - \sigma < X \leq \mu + \sigma) = 0.6826$, $P(\mu - 2\sigma < X \leq \mu + 2\sigma) = 0.9544$, $P(\mu - 3\sigma < X \leq \mu + 3\sigma) = 0.9974$. During the science experimental class enrollment examination in 2010 at Huanggang Middle School, 5000 people took the test. The candidates' math scores follow $X \sim N(90, 100)$.  
(I) Among the 5000 candidates, approximately how many scored between 100 and 120 in math?  
(II) If the top 114 candidates in math scores are admitted, what would be the admission score cut-off?

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