
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
In the November examination for the 2015 senior class at our school, the mathematics scores for science students followed a normal distribution $N(90, \sigma^2)$ (with $\sigma > 0$). It was found that $P(60 \leq \xi \leq 120) = 0.8$. Assuming 780 students took the exam, estimate the number of students who scored higher than 120.

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