The following contingency table provides a joint frequency distribution for a group of retired people by career and age at retirement. Age at Retirement $$\begin{array} { | c | c | c | c | c | c | }
\hline \text { Career } & 50 - 55 & 56 - 60 & 61 - 65 & \text { Over 65 } & \text { Total } \
\hline \text { Attorney } & 12 & 44 & 73 & 43 & 172 \
\hline \begin{array} { c }
\text { College } \
\text { Professor }
\end{array} & 9 & 45 & 71 & 33 & 158 \
\hline \text { Secretary } & 21 & 45 & 63 & 49 & 178 \
\hline \text { Store Clerk } & 18 & 44 & 70 & 50 & 182 \
\hline \text { Total } & 60 & 178 & 277 & 175 & 690 \
\hline
\end{array}$$ Suppose one of these people is selected at random.Compute the probability that the person selected was an attorney who retired between 61 and 65.
A)0.401
B)0.106
C)0.264
D)0.249
E)0.424

Question

The following contingency table provides a joint frequency distribution for a group of retired people by career and age at retirement. Age at Retirement $$\begin{array} { | c | c | c | c | c | c | } 
\hline \text { Career } & 50 - 55 & 56 - 60 & 61 - 65 & \text { Over 65 } & \text { Total } \
\hline \text { Attorney } & 12 & 44 & 73 & 43 & 172 \
\hline \begin{array} { c } 
\text { College } \
\text { Professor }
\end{array} & 9 & 45 & 71 & 33 & 158 \
\hline \text { Secretary } & 21 & 45 & 63 & 49 & 178 \
\hline \text { Store Clerk } & 18 & 44 & 70 & 50 & 182 \
\hline \text { Total } & 60 & 178 & 277 & 175 & 690 \
\hline
\end{array}$$ Suppose one of these people is selected at random.Compute the probability that the person selected was an attorney who retired between 61 and 65.
A)0.401
B)0.106
C)0.264
D)0.249
E)0.424

Quizplus · Accepted Answer

The probability that the person selected was an attorney who retired between 61 and 65 is calculated by dividing the number of attorneys who retired between 61 and 65 (73) by the total number of people (690). Thus, the probability is $ \frac{73}{690} \approx 0.106 $.

The Following Contingency Table Provides a Joint Frequency Distribution for a Group