
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
Given that the scores of senior high school students in a certain school follow a normal distribution with an average score of 500, total score of 750, and $P(400<\xi<450)=0.3$, calculate the probability that $P(550<\xi<600)$.

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