
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 a random variable that follows a normal distribution $N(μ,σ^{2})$, the probability of it taking a value within the intervals $(μ-σ,μ+σ)$, $(μ-2σ,μ+2σ)$, and $(μ-3σ,μ+3σ)$ is $68.3%$, $95.4%$, and $99.7%$ respectively. Determine the number of sets of clothes that should be customized to fit employees with heights in the range of $163~178$ cm for a population of $10000$ employees with heights following a normal distribution $N(173,5^{2})$.

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