Each Manager of a Corporation Was Rated as Being Either $\quad$

question 274

Short Answer

Each manager of a corporation was rated as being either a good, fair, or poor manager by his/her boss. The manager's educational background was also noted. The data appear below: $\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\text { Educational Background }$
$\begin{array}{l|cccc|c}\text { Manager }\\\text { Rating } & \text { H. S. Degree } & \text { Some College } & \text { College Degree } & \text { Master's or Ph.D. } & \text { Total } \\\hline \text { Good } &2 & 8 & 24 & 5 & 39 \\\text { Fair } & 3 & 15 & 49 & 20 & 87 \\\text { Poor } & 1 & 9 & 6 &18 & 34 \\\hline \text { Total } & 6 & 32 & 79&43 & 160\end{array}$

If we randomly selected one manager from this company, find the probability that he or she has an advanced (Master's or Ph.D.) degree and is a good manager.
A) $\frac { 1 } { 32 }$

B) $\frac { 29 } { 40 }$

C) $\frac { 41 } { 80 }$

D) $\frac { 31 } { 32 }$

• A) \(\frac { 1 } { 32 }\)
• B) \(\frac { 29 } { 40 }\)
• C) \(\frac { 41 } { 80 }\)
• D) \(\frac { 31 } { 32 }\)

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Definitions:

Book Value

The value of an asset as it appears on the balance sheet, calculated by subtracting the accumulated depreciation or amortization from its original cost.

Significant Improvements

Upgrades or enhancements made to a company's assets, typically tangible fixed assets, that are expected to extend the asset's useful life, increase its value, or boost productivity.

Furnace

A device used for high-temperature heating, usually powered by fuel, electricity, or induction, and utilized in processes such as metal casting, forging, and glass manufacturing.

Van

A type of vehicle used for transporting goods or people, typically larger than a common car but smaller than a truck.