The GRE combined scores for students applying to an engineering school’s GraduateProgram are normally

The GRE combined scores for students applying to an engineering school’s GraduateProgram are normally distributed with a mean of 1500 and a standard deviation of 100. 

(a) An applicant needs a minimum combined score of 1400 to gain admission. What percentage of applicants meet or exceed the minimum qualification ? 

(b) What percentage of applicants have combined GRE scores between 1200 and 1600 ? 

(c) The Dean of Engineering wants to change the minimum combined GRE score needed to gain admission, so that only 33% of applicants are eligible. What should the new minimum score be ?