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In a recent year, 8,080,589 male students and 7,626,111 female students were enr

ID: 3074488 • Letter: I

Question

In a recent year, 8,080,589 male students and 7,626,111 female students were enrolled as undergraduates. Receiving aid were 62.8% of the male students and 67% of the female students. Of those receiving aid, 42.7% of the males got federal aid and 54.2% of the females got federal aid. Choose I student at random. (Hint: Make a tree diagram.) Please round the final answers to 2 or 3 decimal places. Source: www.nces.gov Find the probability of selecting a student from the following. Part I out of 3 A male student without aid. P (male without aid)-

Explanation / Answer

The total number of students (M+F) = 8080589+7626111 = 15706700

a) Probability that the student is male , P(M) = 8080589/15706700 = 0.5145

Probability that male student without aid = 0.5145*(1-0.628) = 0.191

Answer: P(male without aid ) = 0.191

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