The GRE combined scores for students applying to an engineering school's Graduate Program are normally distributed with a mean of 1400 and a standard deviation of 100.
(a) An applicant needs a minimum combined score of 1500 to gain admission. What percentage of applicants meet or exceed the minimum qualification ?
(b) What percentage of applicants have combined GRE scores between 1300 and 1600 ?
(c) The Dean of Engineering wants to change the minimum combined GRE score needed to gain admission, so that 30.5 % of applicants are eligible. What should the new minimum score be?