Answer
The events "female" and "driver" are not independent because $P(female~|~driver)\ne P(driver)$
Work Step by Step
The sample space: 57,545 traffic fatalities. So, $N(S)=57,545$
According to the marginal distribution (see page 235) of the second column: $N(female)=18,219$
Using the Empirical Approach (page 258):
$P(female)=\frac{N(female)}{N(S)}=\frac{18,219}{57,545}\approx0.3166$
According to the marginal distribution (see page 235) of the first row: $N(driver)=44,729$
According to the cell in the first row, second column: $N(female~and~driver)=11,856$
$P(female~|~driver)=\frac{N(female~and~driver)}{N(driver)}=\frac{11,856}{44,729}\approx0.2651$
$P(female~|~driver)\ne P(driver)$
The events "female" and "driver" are not independent (see definition on page 292).
