At Green Hills University, students have the options of participating in various extracurricular activities. In order to predict future funding needs, campus administrators look at data re. the number of students who participated in performing arts, athletics, and tech clubs over the past year. The cross-tabulation below shows the number of students who participated in each of the three types of activities, by year in school. The population for all of the questions below is the group of students who participated in one of the 3 types (n=1538). In the text box below, answer the following six questions about future probabilities based on the data in this table. Each final answer should be in the form of a probability. Label each of the six responses, A through F. Show your work either here or on your scratch work (i.e., show the numerator and denominator for each probability). First year Second year Junior Senior TOTAL Performing arts 74 50 200 101 425 Athletics 126 200 210 144 680 Technology clubs 100 175 134 24 433 TOTAL 300 425 544 269 1538 A. Probability of participating in athletics (0.5 pts.) B. Probability of being a junior or a senior (0.5 pts.) C