The random variable $x,$ representing the number of errors per $100$ lines of software code, has the following probability distribution:

$\backslash$table$[[x,2,3,4,5,6],[f(x),0\mathrm{.}01,0\mathrm{.}25,0\mathrm{.}4,0\mathrm{.}3,0\mathrm{.}04]]$

Find the variance of $x.$