3. A statistics professor classifies his students according to their grade point average (GPA) and their gender. The accompanying table gives the proportion of students falling into the various
categories. One student is selected at random
Gender
Male
Female
Under 2.0
0.05
0.10
GPA
2.0 - 3.0
0.25
0.30
Over 3.0
0.10
0.20
a.
If the student selected is female, what is the probability that her GPA is between 20
and 3.0?