SOLUTION: Records indicate that 30% of all students on a university campus are female. Also 20% of the females are "A" students, and 70% of the males are "A" students. If an "A" student is
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-> SOLUTION: Records indicate that 30% of all students on a university campus are female. Also 20% of the females are "A" students, and 70% of the males are "A" students. If an "A" student is
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Question 1150353: Records indicate that 30% of all students on a university campus are female. Also 20% of the females are "A" students, and 70% of the males are "A" students. If an "A" student is selected at random, what is the probability that the student is female? Answer by ikleyn(52776) (Show Source):
Let N be the total of students on the University.
Of them, 0.3N students are females and 0.7N students are males.
The total of females "A" students is 0.2*0.3*N = 0.06N (1)
The total of "A" students is 0.2*0.3*N + 0.7*0.7N = (0.06+0.49)*N = 0.55N. (2)
Thus the answer to the problem's question is the ratio (1) to (2)
P = = . ANSWER
