
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 (unit: millimeters) of a batch of components follows a normal distribution $N(0,4)$, if one component is randomly selected from the batch, the probability that its length error falls within the interval $(2,4)$ is _____. ($\text{Note:}$ If a random variable $\xi$ follows a normal distribution $N(\mu,\sigma^2)$, then $P(\mu - \sigma < \xi < \mu + \sigma) = 0.6827$, $P(\mu - 2\sigma < \xi < \mu + 2\sigma) = 0.9545$)

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