Given two stochastic processes, $X[n]$ and $Y[n]$, both being WSS (wide state stationary) and independents. What would be the Average and Autocorrelation function of $Z[n] = Y[n] X[n]$?

Is the resulting $Z[n]$ process also WSS? If so, can the PSD (power spectral density) be calculated?

Thank you.