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

Question 37

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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.  Father’s  Income  Son’s income  Bottom 10%1050%5090% Top 10% Bottom 10%0.40.320.270.011050%0.10.480.380.045090%0.040.380.480.1 Top 10%0.010.270.320.4\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%

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9.59; 40.4...

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