
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
It is known that the lifespan of a certain model of truck tires produced by a factory (unit: km) follows a normal distribution $N(\mu, \sigma^2)$ with $\mu = 36203$ and $\sigma = 4827$. An automotive company bought 500 tires from this factory. Using the normal distribution, estimate the number of tires whose lifespan falls within the range $36203 - 2 \times 4827$ to $36203 + 2 \times 4827$.

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