A University of Montana Study Shows the Following One-Generation Transition

Short Answer

A University of Montana study shows the following one-generation transition probabilities among four major income groups. In the long term, what percentage of male earners would you expect to find in each category Round your answers to two decimal places. $$\begin{array} { | l | l | l | l | l | } \hline { \begin{array} { l } \text { Father's } \\\text { Income }\end{array} } & { \text { Son's income } } \\ & \begin{array} { l } \text { Bottom } \\\mathbf { 1 0 \% }\end{array} & \mathbf { 1 0 - 5 0 \% } & \mathbf { 5 0 - 9 0 \% } & \begin{array} { l } \text { Top } \\\mathbf { 1 0 \% }\end{array} \\\hline \begin{array} { l } \text { Bottom } \\\mathbf { 1 0 \% }\end{array} & 0.4 & 0.32 & 0.27 & 0.01 \\\hline \mathbf { 1 0 - 5 0 \% } & 0.1 & 0.48 & 0.38 & 0.04 \\\hline \mathbf { 5 0 - 9 0 \% } & 0.04 & 0.38 & 0.48 & 0.1 \\\hline \begin{array} { l } \text { Top } \\\mathbf { 1 0 \% }\end{array} & 0.01 & 0.27 & 0.32 & 0.4 \\\hline\end{array}$$ ?
Bottom 10%: __________%
10-50%: __________%
50-90%: __________%
Top 10%: __________%
?
50-90%
50-90%