
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
The random variable $X$ follows a normal distribution with mean 1 and variance 4, denoted as $X \sim N(1,4)$. Given that $p(x \geq 2) = 0.2$, determine the value of $p(0 \leq x \leq 1)$.

A) $0.2$
B) $0.3$
C) $0.4$
D) $0.6$

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