With respect to Exercise 7.15, determine the conditional probability that the person will be

admitted, given the following:

a) That he or she has the highest rating

b) That he or she has the lowest rating

Exercise 7.15

A graduate admissions committee has finally come to realize that it cannot make valid

distinctions

among the top applicants. This year the committee rated all 500 applicants

and randomly chose 10 from those at or above the 80th percentile. (The 80th percentile is

the point at or below which 80 percent of the scores fall.) What is the probability that any

particular

applicant will be admitted (assuming you have no knowledge of his or her rating)?