
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 two random variables $X$ and $Y$, where $X \sim B(4, \frac{1}{4})$, $Y \sim N(\mu, \sigma^2)$ ($\sigma > 0$). If $E[X] = E[Y]$, and $P(|Y| < 1) = 0.4$, find $P(Y > 3)$.

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