The Cross Tabulation Below Classifies Employees of a Communications Company

Essay

The cross tabulation below classifies employees of a communications company by age and field of expertise. Use the given information to create a joint probability table.
​ $$\begin{array} { | l | c | c | c | c | } \hline & \text { Under } \mathbf { 3 5 } & \mathbf { 3 5 } - \mathbf { 4 4 } & \mathbf { 4 5 } + & \text { Total } \\\hline \text { Engineering } & 8,399 & 8,663 & 7,072 & \mathbf { 2 4 , 1 3 4 } \\\hline \text { Business } & 14,515 & 14,988 & 26,683 & \mathbf { 5 6 , 1 8 6 } \\\hline \text { Education } & 6,738 & 5,657 & 8,669 & \mathbf { 2 1 , 0 6 4 } \\\hline \text { Liberal Arts } & 11,415 & 11,484 & 12,111 & \mathbf { 3 5 , 0 1 0 } \\\hline { \text { Total } } & \mathbf { 4 1 , 0 6 7 } & \mathbf { 4 0 , 7 9 2 } & \mathbf { 5 4 , 5 3 5 } & \mathbf { 1 3 6 , 3 9 4 } \\\hline\end{array}$$ ​