
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
A continuous random variable $X$ is exponentially distributed with the probability density function $f(x) = 3 \mathrm{e}^{-3 x}$ for $x \geq 0$, and $f(x) = 0$ for $x < 0$. Find the probability that $X$ falls within the interval $(0.13, 0.7)$.

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