
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 measurement result $X$ follows a normal distribution $N(1, \sigma^2)$, and the probability of $X$ falling in the interval $(0, 1)$ is 0.4, determine the probability that $X$ falls in the interval $(0, +\infty)$.

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