Students at a virtual school are allowed to sign up for one math class each year. The numbers of students signing up for various math classes for the next school year are given in the following table: Grade Geometry Algebra II Pre-Calculus AP Statistics Total 10th 150 75 25 5 255 11th 50 100 75 20 245 12th 10 50 100 65 225 Total 210 225 200 90 725 Part A: What is the probability that a student will take AP Statistics? (2 points) Part B: What is the probability that a 12th-grader will take either Pre-Calculus or AP Statistics? (2 points) Part C: What is the probability that a student will take Algebra II given that he or she is in the 11th grade? (2 points) Part D: Consider the events "A student takes Algebra II" and "A student is a 10th-grader." Are these events independent? Justify your answer. (4 points) (10 points)