Bill is applying for an undergraduate business degree. Bill is preparing for his Graduate Management Admission Test (GMAT). As part of the entry requirements, The Business School specifies a minimum required score of 38 for the Quantitative component and 43 for Verbal component of the GMAT test, no minimum required score for the Analytical Writing Assessment and Integrated Reasoning. Bill's scores for the Quantitative part of the test are Normally distributed with a mean score of 25.81 and a standard deviation score of 6.79, and scores for the Verbal part of the test are Normally distributed with a mean score of 37.45 and a standard deviation score of 7.11. Based on your calculations, what is Bill's current test performance and will he be admitted to the degree? Perform relevant probabilities calculations to answer this question, include an appropriate probability statement for each question and illustrate each calculation with an appropriate diagram.