This question has two parts: a and b. Each part is worth 5 points. In order to earn full credit, there needs to be probability statements, shaded normal curves, and appropriate usage of formulas. Men's heights are normally distributed, with mean, = 68.6 inches, and standard deviation, = 2.8 inches. A treehouse is built for a new television show. The doorway of the treehouse is 62.5 inches. a. What percentage of men can fit through the door without bending? Note: if someone can fit through a door without bending, it means they are shorter than the door. b. What doorway height would allow 85% of men to fit without bending? Hint: turn 85% into a probability