The Contingency Table Below Represents Employees of a Communications Company

question 61

Short Answer

The contingency table below represents employees of a communications company classified by age and field of expertise. What is the probability that a randomly selected employee age 35-45 years old has business expertise?
​ $$\begin{array} { | l | c | c | c | c | } \hline & \text { Under } \mathbf { 3 5 } & \mathbf { 3 5 } - \mathbf { 4 4 } & \mathbf { 4 5 } + & \text { Total } \\\hline \text { Engineering } & 8,399 & 8,663 & 7,072 & \mathbf { 2 4 , 1 3 4 } \\\hline \text { Business } & 14,515 & 14,988 & 26,683 & \mathbf { 5 6 , 1 8 6 } \\\hline \text { Education } & 6,738 & 5,657 & 8,669 & \mathbf { 2 1 , 0 6 4 } \\\hline \text { Liberal Arts } & 11,415 & 11,484 & 12,111 & \mathbf { 3 5 , 0 1 0 } \\\hline { \text { Total } } & \mathbf { 4 1 , 0 6 7 } & \mathbf { 4 0 , 7 9 2 } & \mathbf { 5 4 , 5 3 5 } & \mathbf { 1 3 6 , 3 9 4 } \\\hline\end{array}$$ ​

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Definitions:

Gain

The increase in the value of an asset or a decrease in the value of a liability, which results in an increase in the equity of a business.

Fixed Asset Turnover Ratio

A financial ratio that measures how efficiently a firm uses its fixed assets to generate sales, calculated by dividing net sales by net fixed assets.

Sales Revenue

The total amount of money generated by the sale of goods or services related to a company's primary operations.

Operating Expenses

Recurring expenses incurred during normal business operations, such as rent, utilities, and payroll.