
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
During the summer vacation, Li conducted a social practice activity and randomly selected 80 young people who love physical exercise to investigate whether they consider running as their main form of exercise. The incomplete contingency table is as follows:

|              | Running as Main Exercise | Not Running as Main Exercise | Total |
|--------------|--------------------------|------------------------------|-------|
| Male         | 20                       | 20                           |       |
| Female       |                          | 30                           |       |
| Total        |                          |                              | 80    |

$(1)$ Please complete the contingency table and determine whether there is a 99% confidence level to believe that the choice of running as the main form of exercise is related to gender.  
$(2)$ Among the 80 people surveyed, 5 people were selected from the group who do not consider running as their main form of exercise using stratified sampling by gender to participate in a physical fitness learning activity. 2 people were then selected to speak on behalf of the group. Let the number of females among the 2 people be denoted as $X$. Find the distribution and expected value of $X$.  
Given formula and data for reference: ${K}^{2}=\frac{n(ad-bc)^{2}}{(a+b)(c+d)(a+c)(b+d)}$, where $n=a+b+c+d$.  

| $P(K^{2}\geqslant k_{0})$ | 0.40 | 0.25 | 0.10 | 0.010 | 0.005 | 0.001 |
|---------------------------|------|------|------|-------|-------|-------|
| $k_{0}$                   | 0.708| 1.323| 2.706| 6.635 | 7.879 | 10.828|

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