Part $1$: Anthropometry $(28$ pts$)$

$(8pts)$ A female is $5^{\text{'}}{3}^{\text{'}\text{'}}.$ What is her height percentile among females?

$(10$ pts$)$ Design a standing workstation with adjustable platform to fit most men $($between the ${20}^{mi}$ and ${80}^m$ percentile$).$ Fix the height of the workstation at the waist and assume the workers are doing work on a $3-$inch object sitting on top of the workstation.

$(10$ pts$)$ Design a fully adjustable seated workstation for most people who insert wires into the top of a small motor assembly that is $4$ tall.