Suppose that X is a random variable that has the probability function: \\[0.5em] f(x) = \begin{cases} 0.5, & x = 6 \\ 0.3, & x = 8 \\ 0.2, & x = 10 \end{cases} \\[0.5em] (a) Find the moment generating function for X. \\[0.5em] (b) Using part (a), find E(X) and V(X).