The Mathematics part of the SAT scores of students at UTC are normally distributed with a mean of 500 and a standard deviation of 75.
a. If 2.28 percent of the students who had the highest scores received scholarships, what was the minimum score among those who received scholarships?
b. It is known that 6.3 percent of students who applied to UTC were not accepted. What is the highest score of those who were denied acceptance?
c. What percentage of students had scores between 575 and 650?