[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]

It is raining in the Land of Oz. Determine a tree and a tree measure for the next three days' weather. Find [math]\mat {w}^{(1)}, \mat{w}^{(2)},[/math] and [math] \mat {w}^{(3)}[/math] and compare with the results obtained from [math] \mat {P},~\mat{P}^2,[/math] and [math] \mat {P}^3[/math].