The Cross Tabulation Shown Below Shows Employees of a Communications

question 29

Short Answer

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

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Definitions:

Narcissism

A personality trait marked by an inflated sense of one's own importance, a deep need for excessive attention and admiration, and a lack of empathy for others.

Gambling

Wagering money or something of value on an event with an uncertain outcome, with the intent of winning additional money or goods.

Cheating

Acting dishonestly or unfairly in order to gain an advantage, especially in academic settings or personal relationships.

Secure Self-esteem

A form of self-esteem characterized by a positive, yet realistic view of oneself, resilience to criticism, and stability across different situations.