
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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The 14th National People's Congress of the People's Republic of China held its first meeting on the morning of March 5, 2023, and closed on the morning of March 13. In order to understand the students' attention to major news events, a school randomly selected 100 students for a questionnaire survey. The scores on the questionnaire are approximately normally distributed as $N(85, \sigma^2)$, and $P(80 \leqslant \xi \leqslant 85) = 0.4$.  
$(1)$ Estimate the number of students with scores above 90.  
$(2)$ If the score of this questionnaire survey is not less than 80, it is considered that the student has a high level of attention to major news events. Ten students are randomly selected from the school, and the number of students with a high level of attention to major news events is denoted as $X$. Find the expectation of $X$.

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