
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 factory produces a batch of components (unit: $cm)$, and the size $\xi$ follows a normal distribution $N(\mu, \sigma ^{2})$. Given that $P(\xi \leq 14) = 0.1$ and $P(\xi < 18) = 0.9$, find the value of $\mu$.

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