A survey found that​ women's heights are normally distributed with mean 63.3 in. and standard deviation 2.6 in. The survey also found that​ men's heights are normally distributed with mean 67.9 in. and standard deviation 3.1 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 55 in. and a maximum of 62 in. Complete parts​ (a) and​ (b) below.