To solve this question, we will use the following formula of conditional probability:
[tex]P(A|B)=\frac{P(A\cap B)}{P(B)}.[/tex]
Now, from the given table, we get that:
[tex]P(financial\text{ aid and graduate\rparen= }\frac{1879}{10730},[/tex][tex]P(financial\text{ aid\rparen=}\frac{6101}{10730}.[/tex]
Therefore:
[tex]P(graduate|financial\text{ aid\rparen= }\frac{\frac{1879}{10730}}{\frac{6101}{10730}}=\frac{1879}{6101}.[/tex]
Writing the above result as a percentage, we get:
[tex]\approx31\%.[/tex]
Answer:
[tex]31\%.[/tex]
