
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 that the measurement result $\xi$ follows a normal distribution $N\left( 2,\sigma^{2} \right)\left( \sigma^{2} > 0 \right)$ and the probability of $\xi$ taking values in $(0,2)$ is $0.4$, find the probability of $\xi$ taking values in $\left( -\infty,4 \right)$.

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