Question: In exercises 5-8 assume that SAT scores are normally distributed with the mean \(\mu \) = 1518 and a standard deviation \(\sigma \) = 325 (based on data from the college board).

(a) If 1 SAT score is randomly selected, find the probability that it is less than 1500.

(b) If 100 SAT scores are randomly selected find the probability that they have a mean less than 1500.