Given Exercise gave the information that the verbal SAT scores for students admitted to a university had a bell shaped distribution with mean 540 and standard deviation 50.

a. What is the verbal SAT score such that only 16% of admitted students had a higher score?

b. What is the verbal SAT score such that only 2.5% of admitted students had a higher score?

c. What is the verbal SAT score such that only 16% of admitted students had a lower score?

Exercise
Suppose verbal SAT scores for students admitted to a university are bell-shaped with a mean of 540 and a standard deviation of 50.

a. Draw a picture of the distribution of these verbal SAT scores, indicating the cutoff points for the middle 68%, 95%, and 99.7% of the scores.

b. What is the variance of verbal SAT scores for students admitted to the university?