Question

University DataReceivingNot ReceivingTotalFinancial AidFinancial AidUndergraduates422238988120Graduates18797312610Total6101462910730If you know that a student receives financial aid,what is the probability that the student is agraduate student?Write your answor

Answer 1

To solve this question, we will use the following formula of conditional probability:

$P(A|B)=\frac{P(A\cap B)}{P(B)}.$

Now, from the given table, we get that:

$P(financial\text{ aid and graduate\rparen= }\frac{1879}{10730},$$P(financial\text{ aid\rparen=}\frac{6101}{10730}.$

Therefore:

$P(graduate|financial\text{ aid\rparen= }\frac{\frac{1879}{10730}}{\frac{6101}{10730}}=\frac{1879}{6101}.$

Writing the above result as a percentage, we get:

$\approx31\%.$

Answer:

$31\%.$