There are 81 white seniors graduating from high school and 27 black seniors. a. All of the students with high school degrees apply to UW – Milwaukee. The admissions office looks at their records, and finds that 30% of black students drop out after the first year, compared to 15% of white students. If they have 85 openings, how many of each type of student should the admissions office hire to maximize their graduation rate? b. Suppose there is no difference in graduation rates between black and white students. However, the admissions office wants students who will get good grades. They don’t have access to grade histories of different students, but they can see that all 26 of the 27 black applicants went to high school in Milwaukee, whereas 70 of the 81 white applicants went to schools in the suburbs. The schools in the suburbs have very good academic ratings, whereas the schools in Milwaukee do not. If they have 85 openings, how many of each type of student should the admissions office hire to maximize their student body’s GPA?
There are 81 white seniors graduating from high school and 27 black seniors.
a. All of the students with high school degrees apply to UW – Milwaukee. The
admissions office looks at their records, and finds that 30% of black students drop
out after the first year, compared to 15% of white students. If they have 85
openings, how many of each type of student should the admissions office hire to
maximize their graduation rate?
b. Suppose there is no difference in graduation rates between black and white
students. However, the admissions office wants students who will get good
grades. They don’t have access to grade histories of different students, but they
can see that all 26 of the 27 black applicants went to high school in Milwaukee,
whereas 70 of the 81 white applicants went to schools in the suburbs. The schools
in the suburbs have very good academic ratings, whereas the schools in
Milwaukee do not. If they have 85 openings, how many of each type of student
should the admissions office hire to maximize their student body’s GPA?
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