5. The grade point averages of a large population of college students are approxi- mately normally distributed with a mean of 2.4 and a standard deviation of 0.8. (a) (By hand. ) Sketch the distribution. Identify the mean () and inflection points (i.e. u to). (b) What fraction of the students will possess a grade point average in excess of 3.0? First sketch the situation by hand.) (c) Suppose that three students are randomly selected from the student body. What is the probability that all three will possess a grade point average in excess of 3.0? (Assume independence.) Use tables or technology to solve numerically