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

Question 93

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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  Educational Background \text { Educational Background }
 Manager  Rating  H. S. Degree  Some College  College Degree  Master’s or Ph.D.  Total  Good 2824539 Fair 315492087 Poor 1961834 Total 6327943160\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) 132\frac { 1 } { 32 }

B) 2940\frac { 29 } { 40 }

C) 4180\frac { 41 } { 80 }

D) 3132\frac { 31 } { 32 }

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