Changing the mean and standard deviation of a Normal distribution by a moderate amount can greatly change the percent of observations in the tails. Suppose a college is looking for applicants with SAT math scores 760 and above.

(a) In a certain year, the scores of men on the math SAT followed the N(531, 121) distribution. What percent of men scored 760 or better? (Round your answer to two decimal places.) %

(b) Women's SAT math scores that year had the N(499, 112) distribution. What percent of women scored 760 or better? You see that the percent of men above 760 is almost three times the percent of women with such high scores. Why this is true is controversial. (On the other hand, women score higher than men on the new SAT writing test, though by a smaller amount. Round your answer to two decimal places.) %