[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]

In one play of a certain game you win an amount [math]X[/math] with distribution

[[math]] p_X = \pmatrix{ 1 & 2 & 3 \cr 1/4 & 1/4 & 1/2\cr}. [[/math]]

Using the program NFoldConvolution find the distribution for your total winnings after ten (independent) plays. Plot this distribution.