A survey found that​ women's heights are normally distributed with mean 63.9 in. and standard deviation 3.6 in. The survey also found that​ men's heights are normally distributed with mean 69.7 in. and standard deviation 3.6 in. Consider an executive jet that seats six with a doorway height of 55.9 in. Complete parts​ (a) through​ (c) below.
a. What percentage of adult men can fit through the door without​ bending? The percentage of men who can fit without bending is 0.02​%. ​(Round to two decimal places as​ needed.)