EXPLANATION:
Given;
We are given table showing the total number of graduates and undergraduates. Also the table shows the total number receiving financial aid also those not receiving financial aid.
Required;
If we know that a student receives financial aid, then what is the probability that the student is a graduate student?
Step-by-step solution;
We are already given the the condition that the student receives financial aid. Therefore;
[tex]financial\text{ }aid=6101[/tex]The probability that the student is a graduate and receives financial aid is;
[tex]P[graduate\cap financial\text{ }aid]=1879[/tex]Therefore, if a student is chosen from the school, the probability that the student is a graduate student given that he or she receives financial aid is;
[tex]\begin{gathered} P[graduate|financial\text{ }aid]=\frac{P[graduate\cap financial\text{ }aid]}{P[financial\text{ }aid]} \\ \\ =\frac{1879}{6101} \\ \\ =0.307982297984 \end{gathered}[/tex]Expressed as percentage, this now becomes;
[tex]\begin{gathered} Percentage=0.307982297984\times100 \\ \\ Percentage=30.7982297984 \end{gathered}[/tex]Therefore, we can round this off to the nearest whole number and we have;
ANSWER:
[tex]Probability=31\%[/tex]