
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 random variable follows the normal distribution $N(\mu, \sigma^2)$, the probabilities that the variable falls within the intervals $(\mu - \sigma, \mu + \sigma)$, $(\mu - 2\sigma, \mu + 2\sigma)$, and $(\mu - 3\sigma, \mu + 3\sigma)$ are $68.3\%$, $95.4\%$, and $99.7\%$ respectively. Approximately how many sets of uniforms suitable for students with heights in the range of 155cm to 175cm need to be ordered for 1000 freshmen whose heights follow the normal distribution $(165, 5^2)$?

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