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

Should be paid Should not be paid
Student athlete 90 10
Student nonathlete 210 90

(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 nonathlete
iii. is an athlete and favors paying student athletes
iv. is a nonathlete or is against paying students athletes

(b) Are the events student athlete and should be paid independent? Are they mutually exclusive? Justify your answer.

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