The admissions committees for most masters of business administration (MBA) programs require the Graduate Management Admission Test (GMAT) as part of the application for new students. It has been shown that the scores on the GMAT are normally distributed with a mean of 542.3 and a standard deviation of 120.54. (Source: MBA.com) The minimum GMAT score required for admission to the MAcc program in the School of Accountancy at BYU is 500, but it is rare for students with scores less than 600 to be admitted. (Source: Marriot school of Business-BYU)

Part 1: What is the probability that a randomly selected student will score above 542.3 on the GMAT?