A random variable \( X \) is defined by \[ X = \begin{cases} -2 & \text{with probability} \, \frac{1}{3}, \\ 3 & \text{with probability} \, \frac{1}{2}, \\ 1 & \text{with probability} \, \frac{1}{6}. \end{cases} \] The value of \( E(X^2) \) is \(\underline{\hspace{2cm}}\) (round off to one decimal place).