
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 $P(X \geq x_1) = 1 - \alpha$ and $P(X \leq x_2) = 1 - \beta$, where $x_1 < x_2$, calculate $P(x_1 \leq X \leq x_2)$.

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