
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
A reading research group in a certain city conducted a survey on the relationship between the reading time and Chinese language scores of middle school students in the city. They randomly selected 500 students from various schools participating in the city's comprehensive Chinese language competition and classified them based on whether their Chinese language scores reached 75 points and whether their average weekly reading time was less than 10 hours. The survey results were organized into a contingency table. It is known that 30% of the sample had Chinese language scores of at least 75 points, and half of the sample had a weekly average reading time of less than 10 hours. There were 100 people who had Chinese language scores of at least 75 points and a weekly average reading time of at least 10 hours. 

$(Ⅰ)$ Complete a $2\times 2$ contingency table. Based on an independence test with $\alpha = 0.001$, can it be concluded that there is a relationship between Chinese language scores and reading time?

$(Ⅱ)$ First, from the sample of students with scores of at least 75 points, based on the proportion of people with different reading times, use stratified random sampling to select 9 people for further questionnaire surveys. Then, randomly select 3 people from these 9 people for interviews. Let $X$ be the number of people among these 3 people who have a weekly average reading time of at least 10 hours. Find the distribution and expected value of $X$.

Given: ${\chi^2}=\frac{{n{{({ad-bc})}^2}}}{{({a+b})({c+d})({a+c})({b+d})}}$.

| $\alpha $ | $0.01$ | $0.005$ | $0.001$ |
|-----------|--------|---------|---------|
| $x_{\alpha }$ | $6.635$ | $7.879$ | $10.828$ |

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