
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
Find the numerical characteristics \( M(X), D(X), \sigma(X) \) of the continuous random variable \( X \) given by the probability density function

$$
p(x) = \begin{cases}
0 & \text{if } x \leq 0 \\
2x & \text{if } 0 < x \leq 1 \\
0 & \text{if } x > 1
\end{cases}
$$

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