1. At a fictional high school Statistics High, after-school activities can be classified into three types: athletes, fine arts, and other. The table gives the number of students participating in each of these types of activities by grade. For the purpose of this example, we will assume that any given student is in exactly one of these after-school activities. 9th 10th 11th 12th Total Athletes 150 160 140 150 600 Fine Arts 100 90 120 125 435 Other 125 140 150 150 565 Total 375 390 410 425 1600 a. What is the probability that a student selected is a 9th grader? b. What is the probability that a student selected is an athlete? c. What is the probability that a student selected is an upper classmen (11th or 12th grader)? d. What is the probability that a student selected is not an athlete? e. What is the probability that a student selected is a 9th grader and an athlete? f. What is the probability that a student selected is an upper classmen and in fine arts? g. What is the probability that a student selected is a 9th grader, given the student selected is an athlete? h. What is the probability that a student selected is an athlete, given the student selected is a 9th grader?