
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 \(X\) has three possible values: \(x_1 = 1\), \(x_2\), and \(x_3\), with \(x_1 < x_2 < x_3\). The probabilities that \(X\) takes the values \(x_1\) and \(x_2\) are 0.3 and 0.2, respectively. The expected value of this variable is \(M(X) = 2.2\), and the variance is \(D(X) = 0.76\). Find the distribution series of the variable \(X\).

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