
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 score of a math test follows a normal distribution: $\xi \sim N(85, \sigma^2)$, where the probability of a score being between $83$ and $87$ is $0.3$, and the probability of a score being between $78$ and $83$ is $0.13$, determine $P(\xi < 78)$.

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