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)=(P(A\cap B))/(P(B)).`

Now, from the given table, we get that:

`P(financial\text{ aid and graduate\rparen= }(1879)/(10730),`
`P(financial\text{ aid\rparen=}(6101)/(10730).`

Therefore:

`P(graduate|financial\text{ aid\rparen= }((1879)/(10730))/((6101)/(10730))=(1879)/(6101).`

Writing the above result as a percentage, we get:

`\approx31\%.`

Answer:

`31\%.`