30.8% ≅ 31%. The probability in percent that a given graduate student is on financial aid is 31%.
The key to solve this problem is using the conditional probablity equation P(A|B) = P(A∩B)/P(B). Conditional probability is the probability of one event occurring with some relationship to one or more other events.
From the table we can see P(A∩B) which is the intersections of event A and event B, in this case the intersection is the amount of graduates students receiving financial aid 1879. Then P(A∩B) = 1879/10730.
From the table we can see P(B) which is the probability of the total of students undergraduate and graduate and the total of the students of the university data. Then P(B) = 6101/10730
P(A|B) = (1879/10730)/(6101/10730) = 0.307982
Round to nearest thousandth 0.308
Multiplying by 100%, we obtain 30.8% or ≅ 31%