
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 math quiz consists of 25 multiple-choice questions, each with 4 options, of which only one is correct. For each correct answer, 4 points are awarded, and no points are awarded for an incorrect answer or if no answer is chosen, with a total score of 100 points. If the probability of a student choosing the correct answer for any question is 0.8, then the variance of this student's score in this test is $D(\xi)=$ .

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