Changing the mean of Normal distribution by moderate amount can greatly change the percent of observations in the tails.
Assume that college is looking for applicants with SAT math scores 750 and above.
1. In 2010, the scores of men on math SAT followed N (534, 118) distribution. What percent of men scored 750 or better?
2. Women's SAT math scores that year had the N (500, 112) distribution. What percent of women scored 750 or better?