Suppose that a static robot is equipped with a spot laser range scanner that continuously returns the distance to an object which is $\backslash (\backslash$mathbf$\{6$ m$\}\backslash ).$ The sensor returns a distgance measurement with some known constant variance which is $\backslash (\backslash$mathbf$\{20\}\backslash$mathbf$\{$~ m$\}^\{\backslash$mathbf$\{2\}\}\backslash ).$ Plot the estimate of the distance and the varianc. Initialized the filter with a value of zero and a variance of $\backslash (50\backslash$mathrm$\{$~m$\}^\{2\}\backslash ).$ Draw the measurement from Gaussian distribution with a mean $\backslash (\backslash$mathbf$\{6$ m$\}\backslash )$ and variance $\backslash (\backslash$mathbf$\{20\}\backslash$mathbf$\{$m$\}^\{\backslash$mathbf$\{2\}\}\backslash ).$