
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
Given that the probability distribution of random variable $X$ is as follows:

| $X$ | $-1$ | $0$ | $1$ |
|-----|------|----|----|
| $P$ | $0.2$ | $0.4$ | $0.4$ |

Find the expected value of the random variable $X^{2}$, $E(X^{2})=$____.

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