
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 discrete random variable $X$ can take only two values $x_{1}$ and $x_{2}$, with $x_{1} < x_{2}$. The probability $p_{1} = 0.5$, the expectation $E(X) = 3.5$, and the variance $Var(X) = 0.25$ are known. Find the distribution law of the discrete random variable $X$.

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