
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
Assume that the random variable $\xi$ follows a normal distribution $N(0, 1)$. Let $\phi(x) = P(\xi < x)$. Evaluate the following statements:
1. $\phi(0) = 0.5$;
2. $\phi(x) = 1 - \phi(-x)$;
3. $P(|\xi| < 2) = 2\phi(2) - 1$.

Which of these conclusions are correct?

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