A random sample of 400 college students was asked if college athletes should be paid. The following table gives a two-way classification of the responses.

a. If one student is randomly selected from these 400 students, find the probability that this student
i. Is in favor of paying college athletes
ii. Favors paying college athletes given that the student selected is a nonathletic
iii. Is an athlete and favors paying student athletes?
iv. Is a nonathletic or is against paying student athletes
b. Are the events €œstudent athlete€ and €œshould be paid€ independent? Are they mutually exclusive? Explain why or why not.

Transcribed Image Text:

Student athlete Student nonathlete Should Be Paid 90 210 Should Not Be Paid 10 90