
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
The distribution table of random variable $X$ is shown in the following table, where $E\left[X\right]$ is the mathematical expectation of $X$. Find $E\left[X-E\left[X\right]\right]$.

| $X$ | $1$ | $2$ | $3$ | $4$ | $5$ |
|-----|-----|-----|-----|-----|-----|
| $p$ | $0.1$ | $a$ | $0.2$ | $0.3$ | $0.1$ |

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