[math] \newcommand{\NA}{{\rm NA}} \newcommand{\mat}[1]{{\bf#1}} \newcommand{\exref}[1]{\ref{##1}} \newcommand{\secstoprocess}{\all} \newcommand{\NA}{{\rm NA}} \newcommand{\mathds}{\mathbb}[/math]

Verify your answers in Exercise Exercise(a) by computer

simulation: Choose [math]X[/math] and [math]Y[/math] from [math][-1,1][/math] with uniform density and calculate [math]Z = X + Y[/math]. Repeat this experiment 500 times, recording the outcomes in a bar graph on [math][-2,2][/math] with 40 bars. Does the density [math]f_Z[/math] calculated in Exercise \ref{exer 7.2.1}(a) describe the shape of your bar graph? Try this for Exercises Exercise(b) and Exercise Exercise(c), too.