A distribution of grades in an introductory statistics course (where A-4, B-3, etc) is: X 0 P(X) 0.11 1 2 3 0.17 0.24 0.32 4 0.16 Part a: Find the probability that a student has passed this class with at least a C (the student's grade is at least a 2). Part b: Find the probability that a student has an A (4) given that he has passed the class with at least a C (2). Part c: Find the expected grade in this class. Part d: Find the variance and standard deviation for the class grades. BONUS: Suppose a student knows he/she has passed the course with a C, what should they expect their grade to be?