The Cross Tabulation Below Classifies Employees of a Communications Company

question 5

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.
​ $$\begin{array} { | l | c | c | c | c | } \hline & \text { Under } \mathbf { 3 5 } & \mathbf { 3 5 } - \mathbf { 4 4 } & \mathbf { 4 5 } + & \text { Total } \\\hline \text { Engineering } & 8,399 & 8,663 & 7,072 & \mathbf { 2 4 , 1 3 4 } \\\hline \text { Business } & 14,515 & 14,988 & 26,683 & \mathbf { 5 6 , 1 8 6 } \\\hline \text { Education } & 6,738 & 5,657 & 8,669 & \mathbf { 2 1 , 0 6 4 } \\\hline \text { Liberal Arts } & 11,415 & 11,484 & 12,111 & \mathbf { 3 5 , 0 1 0 } \\\hline { \text { Total } } & \mathbf { 4 1 , 0 6 7 } & \mathbf { 4 0 , 7 9 2 } & \mathbf { 5 4 , 5 3 5 } & \mathbf { 1 3 6 , 3 9 4 } \\\hline\end{array}$$ ​

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Definitions:

Tubular Secretion

Ions and breakdown products of organic molecules move out of peritubular capillaries and into filtrate.

Distal Tubules

Sections of the nephron in the kidney that further process the filtrate after it passes through the proximal tubule, playing a key role in acid-base balance and salt regulation.

Mammalian Nephrons

The functional units of the kidney in mammals, responsible for filtering blood to produce urine, regulating water, and soluble substances in the blood.

Glomerular Filtration

Protein-free plasma forced out of glomerular capillaries by blood pressure enters Bowman’s capsule.