The College Boards, which are administered each year to many thousands of high school students, are scored so as to yield a mean of 500 and a standard deviation of 100. These scores are close to being normally distributed. An exclusive club wishes to invite those scoring in the top 10% on the College Boards to join.

a. What score is required to be invited to join the club?

b. What score separates the top 75% of the population from the bottom 25%? What do we call this value?

**Subject Mathematics Advanced Statistics**