
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 discrete random variable \(X\) is defined by the following distribution:

$$
X: \begin{array}{cccc}
x_{i} & 1 & 2 & 4 \\
p_{i} & 0.1 & 0.3 & 0.6 \\
\end{array}
$$

Find its expected value, variance, and standard deviation.

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