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[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

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[ACTION NAME]

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# Your action step 2

# Your action step 3

...

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system
Qingming Festival, also known as Tomb-Sweeping Day, Pure Brightness Festival, March Festival, Ancestors' Day, etc., is a traditional major spring festival. Tomb-sweeping and ancestor worship are excellent traditions of the Chinese nation since ancient times. A community conducted a survey on the floating population and found that about 90% of the people who returned to their hometowns two or more times in the past 5 years. Now, 100 people were randomly selected to determine whether they returned to their hometowns to pay respects to their ancestors this year. The incomplete $2 \times 2$ contingency table obtained is as follows:

|              | Return to Hometown | Do Not Return to Hometown | Total |
|--------------|--------------------|---------------------------|-------|
| 50 years old and below |                    | 55                        |       |
| Above 50 years old | 15                 |                           | 40    |
| Total        |                    |                           | 100   |

$(1)$ Complete the $2 \times 2$ contingency table as follows. Based on the independence test with a small probability value of $\alpha = 0.001$, and analyze the data in the table, can it be considered that returning to the hometown to worship ancestors is related to age?  
$(2)$ Three people are randomly selected from the community's floating population. Let $X$ be the number of people among them who have returned to their hometowns two or more times in the past 5 years. Find the distribution table and mathematical expectation of $X$.  
Reference formula: ${\chi}^{2} = \frac{n{(ad-bc)}^{2}}{(a+b)(c+d)(a+c)(b+d)}$, where $n=a+b+c+d$.  
Reference data:

| $\alpha$ | $0.100$ | $0.050$ | $0.010$ | $0.001$ |
|----------|---------|---------|---------|---------|
| $x_{0}$  | $2.706$ | $3.841$ | $6.635$ | $10.828$ |

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