Question

Find the P( the recipient is female given that the degree is advanced)

Answer 1

The table given show the male and female recipients of different classes of degree at a local college.

Note that the total for each row and column i indicated as shown below;

To find the probability that the recipient is female, given that the degree i advanced;

`\begin{gathered} P\lbrack female|advanced\text{ degree\rbrack=}(322)/((322+245)) \\ P\lbrack\text{female}|\text{advanced degree\rbrack=}(322)/(567) \\ P\lbrack\text{female}|\text{advanced degree\rbrack=0.5679}\ldots \\ P\lbrack\text{female}|\text{advanced degree\rbrack}\approx0.57 \end{gathered}`

Note that we already know its an Advanced degree, hence we only need to divide the female recipients of an advanced degree by the total recipients.

The answer therefore is 0.57 (approximated to 2 decimal places), or expressed as a percentage, the answer is 57%