Question

Use the information in the table to find the indicated probability.

Number of Degree Recipients at a Local College
Degree Male Female
Associate's 224 387
Bachelor's 547 776
Advanced 245 322
Find P(the recipient is female, given that the degree is advanced)

Answer 1

`P(\text{Female}|\text{Advanced})=(322)/(567)\approx0.5679`

Explanation:

`\displaystyle P(\text{Female}|\text{Advanced})=\frac{P(\text{Female and Advanced})}{P(\text{Advanced})}\\\\P(\text{Female}|\text{Advanced})=((322)/(2501))/((567)/(2501))\\\\P(\text{Female}|\text{Advanced})=(322)/(567)\\ \\P(\text{Female}|\text{Advanced})\approx0.5679`