
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 that the length error of a certain batch of parts (unit: millimeters) follows a normal distribution $N(0, 3^2)$, what is the probability that the length error of a randomly selected part falls within the interval $(3, 6)$?

(Note: In the normal distribution $f(x_0) = g(x_0)$, $h(x) = \begin{cases} f(x) & 0 < x < x_0 \\ g(x) & x_0 \leq x \end{cases}$)

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