
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 variance of the discrete random variable \(X\), which represents the number of occurrences of event \(A\) in five independent trials, given that the probability of event \(A\) occurring in each trial is 0.2.

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