A. In a state university, 70% of the students get some form of financial aid. 40% of the students are out-of-state students. Also, of the out-of-state students, 50% get financial aid. 1) What percent of the students get financial aid and are out-of-state students (this is a joint probability)? 2) What percent of the students get financial aid or are out-of-state students? 3) Are the events "getting financial aid" and "being out-of-state students" mutually exclusive? Demonstrate using probabilities. 4) Are the events "getting financial aid" and "being out-of-state students" independent? Demonstrate using probabilities. B. Most data show that married men make more money than single men. Use the data below to show whether or not men's income is related to their marital status. Hint: test if income is independent of marital status using probabilities. Above 70k Below 70k Married 300 Single 50 80 70