A random sample of 4000 college students was asked if college athletes should be paid. The following table gives a two-way classification of the responses. Should Be Paid Should Not Be Paid Students Athlete 90 10 Students Nonathlete 210 90 a. If one student is randomly selected from these 400 students, find the probabilities that this student 1) is in favor of paying college athletes 2) favors paying college athletes given that the student selected is a nonathlete 3) is an athlete and favors paying student athletes 4) is a nonathlete or is against paying student athletes b. Are the event "student athlete" and "should be paid" independent? Are they mutually exclusive? Explain why or why not.