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.