Chapter 12.4, Problem 32E

(a)

To determine

Thepercentage of the scores between $500$ and $600$, where the Math SAT scores of a recent freshman class at a university were normally distributed with $\mu =535$ and $\sigma =100$.

(b)

To determine

The minimum score needed to be in the top $10\%$ of the class, where the Math SAT scores of a recent freshman class at a university were normally distributed with $\mu =535$ and $\sigma =100$.