The final scores in a statistics class are historically found to be normally distributed with a mean of 65% and a standard deviation of 8%, N (65, 8).

a. What is the probability that a student in this class passes the course (assume a passing grade is 50%)? Use Table A at the end of the textbook to answer this question.

b. Under the Queen's University GPA Scale, what is the probability that a student in this class receives exactly 3.3 Grade Points? Use Table A to answer this question.

c. Find the percentage score required to be in the top 10% of students. Use Table A to answer this question.

d. Suppose the distribution of final scores in a microeconomics class are historically found to have the distribution N(60, 11). Also suppose a student has received 80% in both the statistics and microeconomics classes. How can you compare their performance in the two courses? Determine which course the student has performed better in relative to their peers.