
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
When $\mu=0$, $\sigma=1$, the normal curve is defined as $$f(x)= \frac {1}{ \sqrt {2\pi }}e^{- \frac {x^{2}}{2}},x\in \mathbb{R}$$, which we call the standard normal curve. We also define $\Phi(x_0)=P(x<x_0)$. Based on this, find the value of $\Phi(0)$.

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