NASA excludes anyone under 148.6 cm and anyone over 193.0 cm from being an astronaut. The distribution of adult height within a sex is well described by a normal distribution. Given that the mean height for men is 175.6 cm with a standard deviation of 7.1 cm and for women is 162.6 cm with a standard deviation of 6.4 cm;
a. What fraction of the male population is excluded from being an astronaut based on height?