Problem For The Day! 14 - Oct - 2014

Let a discrete random process be defined as $Y[n] = 2X[n]-4X[n-1]$, where $X[n]$ is a zero mean WSS process with auto-correlation function $R_X[k] = \left\{ \ldots,0,\frac{1}{2},{\underset{\uparrow}{1}},\frac{1}{2},0,\ldots \right\}$. The average power of the process $Y[n]$ would be $\underline{\hspace{1cm} }$.