In a recent year, 8,672,861 male students and 1,787,104 female
students were enrolled as undergraduates. Receiving aid were 64.4%
of the male students and 65.8% of the female students. Of those
receiving aid, 40.9% of the males got Federal Aid and 52.8% of the
females got Federal Aid. Choose 1 student at random.
(Hints: (1) Make a tree diagram, (2) A student could get aid but
not necessarily receive Federal Aid , receiving Federal Aid is a
subset of Receiving Aid).
a. Find the Probability: P(Male Student without Aid)
b. Find the Probability: P(Female student, given that the student
has Aid)
c. Find the Probability: P(Male Student or Federal Aid)
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