
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 the normal distribution $N(a, d^2)$, where $a > 0, d > 0$, calculate the probability of $x$ taking a value within the interval $(0, 2a)$, given that the probability of $x$ taking a value within the interval $(0, a)$ is $0.3$.

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