The College Boards, which are administered each year to many thousands of high school students, are scored so as to yield a mean of 513 and a standard deviation of 130. These scores are close to being normally distributed. What percentage of the scores can be expected to satisfy each of the following conditions?

An honor society wishes to invite those scoring in the top 5% on the College Boards to join their society.

a.What score is required to be invited to join the society?What score separates the top 75% of the population from the bottom 25%?