A survey found that women's heights are normally distributed with mean 63.2 in. and standard deviation 2.8 in. The survey also found that men's heights are normally distributed with mean 67.9 in. and standard deviation 3.5 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 57 in. and a maximum of 64 in. Complete parts (a) and (b) below.