Men's heights are normally distributed with mean =68.6 in. and a SD of =2.8 in. Women's heights are normally distributed with mean =63.7 in. and a SD of =2.9 in. 1. The U.S. Navy requires that fighter pilots have heights between 62 in. and 78 in. What proportion of men meet this requirement? Of women? 2. The U.S. Air Force requires that pilots have heights between 64 in. and 77 in. What proportion of men meet this requirement? Of women? 3. The Gulfstream 100 is an executive jet that seats six, and it has a doorway of 51.6in. If we redesign the doorway so that 40% of men could walk through without bending, how tall should the doorway be? 4. On the same scale below, draw the box plots of the heights of men and women. (Assume maximum height occurs at z=+3.00 and minimum height occurs at z=3.00 ).