• Describe a single variable Gaussian "Normal" distribution. Give an everyday life example of its usage.
• Describe a bivariate or multivariate Gaussian distribution. What lies behind the concept of "Error Ellipses" or "Error Ellipsoids"?
• How does this relate to our "Ballistics" problem?
• MATLAB: Use the attached scripts and create an error ellipse with the initial conditions of your choice. Describe all relevant parameters.

4.5 Discussion: Ballistic Systems & Error Analysis (Ballistics Part 2) 100 Gaussian normal distributed random numbers.. ..1 Parameters ... ..1 Creation of a 2D error ellipse and its mean value .. ..1 100 Gaussian normal distributed random numbers xi = 2 + 1.9* randn (100, 1); yi = 3 + randn (100,1) ; Parameters param.P = 0.9; $ 90% Error ellipse param. option = 'Prob'; param. Dec = 180; * 180 points of the error ellipse [a, b, amean, bmean] = ErrorEllipse2D(xi, yi, param) ; figure( 'NumberTitle' , 'off' , 'Name' , 'Error Ellipse' ) plot (a,b, 'Color' , 'red' ) grid on; hold on; axis equal; plot (xi, yi, 'Marker' , "+' , 'LineStyle' , 'none" ) ; plot (amean, bmean, 'Marker' , 'o' , 'MarkerFaceColor' , "black' , "LineStyle' , 'none' , 'color' , "black' ); title( 'Gaussian random numbers centered at [2,3]') xlabel ( 'x - numbers' ); ylabel( 'y - numbers' ); function [X, Y, xmean, ymean] = ErrorEllipse20(xi, yi, ErrellParam) Creation of a 2D error ellipse and its mean value Input : x and y data array ( same length) Output : mean values for x and y Error ellipse X and Y Parameters: ErrEllParam. P Probability that a data point lies within the error ellipse (0.9 = 90%) ErrEllParam. Dec Decimation of the Error Ellipse (180, two degree increments