
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 the random variable $\zeta \sim N(4, \sigma^2)$, and $P(4 < \zeta < 8) = 0.3$, find $P(\zeta < 0) =$ ___.

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