
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 random variable \( X \) is defined by the distribution function:

\[ 
F(x) = 
\begin{cases} 
0 & \text{if } x \leq 0 \\ 
\frac{x}{3} & \text{if } 0 < x \leq 3 \\ 
1 & \text{if } x > 3 
\end{cases} 
\]

Find the probability that the random variable \( X \) will take a value in the interval \( (2,3) \).

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