Let $x[n]=\{-1,2,4,0,2,-1,4,4\}.$

$($a$)$ Plot the histogram of $x[n].$

$($b$)$ Determine the PDF and PMF of $x[n].$

$($c$)$ Estimate the mean $m_x$ and variance of ${}_x^2$ of $x[n].$

$($d$)$ Calculate $r_x[k]$ for $k=0,1,2.$

$($e$)$ Repeat parts $($a$)-($d$)$ for $x[n]=\{1,0,-1,2,2,0,2,1\}.$