
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
Two shooters, A and B, shoot under the same conditions, and their score distributions are as follows: Shooter A hits scores of 8, 9, 10 with probabilities of 0.2, 0.6, 0.2, respectively; Shooter B hits scores of 8, 9, 10 with probabilities of 0.4, 0.2, 0.4, respectively. Compare the shooting levels of the two shooters using the expected value and variance of the scores.

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