Answer
No, the events E and F are not independent.
Work Step by Step
If the events E and F are independent, $P(E~|~F) = P(E)$ (see page 292).
But, $P(E) = 0.6$ and $P(E~|~F) = 0.34$, $P(E)\ne P(E~|~F)$.
The events E and F are not independent.