
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
(2) If $7$ products are sampled from samples with quality index values $m\geqslant 85$ using stratified sampling, and then $3$ products are randomly selected from these $7$ products, find the distribution and mathematical expectation of the number $X$ of products with quality index values $m\in [90, 95)$.

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