All applicants at a large university are required to take a special entrance exam before they are admitted. The exam scores are known to be normally distributed with a mean of 600 and a standard deviation of 50. Applicants must score 550 or more on the exam before they are admitted. (a) What proportion of all applicants taking the exam is granted admission? (Round your answer to four decimal places.) (b) What proportion of all applicants will score 700 or higher on the exam? (Round your answer to four decimal places.) (c) For the coming academic year, 2400 applicants have registered to take the exam. How many do we expect to be qualified for admission to the university? (Round your answer to the nearest whole number.) applicants