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:

Real Account

Permanent accounts in accounting that are not closed at the end of the accounting period, including assets, liabilities, and equity accounts.

Nominal Account

Refers to accounts that track revenues, expenses, gains, and losses; these accounts are closed at the end of each accounting period.

Ledger Accounts

These are individual accounts in accounting that record transactions related to a company's assets, liabilities, equity, revenue, and expenses in a double-entry bookkeeping system.

Net Income

Represents the total profit of a company after all expenses, taxes, and costs have been subtracted from total revenues.