In a random experiment there are two independent events $X$, $Y$. We know that $P(X) = 0.4$ and that $P(X \cap \bar{Y}) = 0.08$ (where $\bar{Y}$ is the complementary event of $Y$). Find:\ a) (1 point) Calculate $P(Y)$.\ b) (0.5 points) Calculate $P(X \cup Y)$.\ c) (1 point) If $X$ is an undesired outcome, so that we consider the experiment a success when $X$ does NOT occur, and we repeat the experiment on 8 occasions, find the probability of having succeeded at least 2 times.