Skewed

Suppose that $X$ is a continuous random variable with PDF $f(x) = \dfrac{\lambda}{2}e^{-\lambda |x - \mu |}$ for all some real constant $\lambda$ and $\mu > 0$. Compute the skewness of $X$ i.e. $\mathbb{E}\left[\left(\dfrac{X - \mu_X}{\sigma_X}\right)^3\right]$, where $\mu_X$ and $\sigma_X$ are the mean and standard deviation of $X$. You may assume without proof the first three moments of $X$ are finite.