A senior student has to take five more 3-credit courses to complete his undergraduate study. Suppose that he has taken and completed 30 3-credit courses with the following distribution of the grade: 5 A's, 13 B's, 7 C's, 4 D's and 1 F.

(a) For each of the five courses to be taken, what are the probabilities that the student will get an A, B, C, D, and F, respectively? (b) What is the expected grade point of the student for the five courses to be taken? Is it higher or lower than his GPA over the 30 courses already taken? (c) What is the expected GPA of this student for his entire undergraduate study?

Use the following for grade point calculation: A = 4.0, B = 3.0, C = 2.0, D = 1.0, F = 0.