Each Manager of a Corporation Was Rated as Being Either

question 187

Multiple Choice

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: $\begin{array}{l}\text {\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad Educational Background }\\\begin{array} { l | c c c c | c } \text { Manager } & & & & & \\\text { Rating } & \text { H. S. Degree } & \text { Some College } & \text { College Degree } & \text { Master's or Ph.D. } & \text { Totals } \\\hline \text { Good } & 1 & 5 & 22 & 11 & 39 \\\text { Fair } & 6 & 13 & 41 & 27 & 87 \\\text { Poor } & 4 & 7 & 2 & 21 & 34 \\\hline \text { Totals } & 11 & 25 & 65 & 59 & 160\end{array}\end{array}$

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) \(\frac { 11 } { 160 }\)
• B) \(\frac { 49 } { 80 }\)
• C) \(\frac { 63 } { 80 }\)
• D) \(\frac { 149 } { 160 }\)