Question

9. A random sample of 400 college students was asked if college athletes should be paid. The following table gives a two-way classification of responses. Should Not Be Paid(B) Should be paid (A) 90 210 Student athlete (C) Student non athlete (D) Total 10 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 Favors paying college athletes given that the student selected is a non-athlete Is a non-athlete or is against paying student athlete.

Answer 1

solution:

	paid	not be paid	total
athlete	90	10	100
nonathlete	210	90	300
total	300	100	400

i) p(in favour of paying college athletes) =300/400 =0.75

ii) p(favour paying given nonathlete) =210/300=0.7

iii) p(nonathlete or against paying student athlete) =(300+100-90)/400 =310/400=0.775

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