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

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): You can put this solution on YOUR website!
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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

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