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In a recent year 8,254,170 male students and 1,839,552 female students were enrolled as undergraduates. Receiving...

In a recent year 8,254,170 male students and 1,839,552 female students were enrolled as undergraduates. Receiving aid were 61.8% of the male students and 66.3% of the female students. Of those receiving aid, 41.1% of the males got federal aid and 53.6% of the females got federal aid. Choose 1 at random (Hint: make a tree diagram) Round the answer to 3 decimal places.
Find the probability of selecting the following.

a) A male students without aid.
b) A male student, given that the student has aid.
c) A female student or a student who receives federal aid.

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