SOLUTION: Student Financial Aid In a recent year 8,073,000 male students and 10,980,000 female students were enrolled as undergraduates. Receiving aid were 60.6% of the male students and

Question 376263: Student Financial Aid In a recent year 8,073,000 male
students and 10,980,000 female students were enrolled
as undergraduates. Receiving aid were 60.6% of the
male students and 65.2% of the female students. Of
those receiving aid, 44.8% of the males got federal aid
and 50.4% of the females got federal aid. Choose 1
student at random. (Hint: Make a tree diagram.) Find
the probability that the student is
a. A male student without aid
b. A male student, given that the student has aid
c. A female student or a student who receives federal
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!



Hi

19,053 total students

 8073/19053 = .4237 male

10980/19053 = .5763 females

a)a. A male student without aid (39.4% of males w/o aid)

.4237*.394

b. A male student, given that the student has aid

.5763*.652 = .3757  females receiving aid 

.4237*.606 = .2568  males receiving aid

P(receiving aid) = .6325 

.4237/.6325 = .6699

c. A female student 'or' a student who receives federal

.3757*.504 = .1894

.2568*.448 = .1150

P(federal aid) = .3044

.5763 + .3044 -.1894 = .6913 

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