
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 scores $\xi$ follow a normal distribution $N(100, \sigma^2)$ with $\sigma>0$, and the probability of $\xi$ being in the interval $(80,120)$ is $0.8$, calculate the probability of $\xi$ being in the interval $(0,80)$.

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