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:

Direct Labour Efficiency Variance

The difference between the actual hours worked and the standard hours expected to produce a certain number of units, multiplied by the standard labor rate.

Actual Production

The real and measurable output of goods or services from a production process or system.

Normal Production

The expected volume of output under standard operating conditions without external disruptions.

Standard Costing System

An accounting system that uses predetermined costs for products or services to assess the efficiency of operations by comparing them to actual costs incurred.