The table shows the careers of a group of retired people and their ages at retirement. Age at Retirement Career 50 − 55 56 − 60 61 − 65 Over 65 Total Attorney 9 44 95 50 198 College Professor 12 44 99 37 192 Secretary 21 45 63 49 178 Store Clerk 18 44 70 50 182 Total 60 177 327 186 750 \begin{array} { | c | c | c | c | c | c | } \hline ext { Career } & 50 - 55 & 56 - 60 & 61 - 65 & ext { Over 65 } & ext { Total } \\hline ext { Attorney } & 9 & 44 & 95 & 50 & 198 \\hline \begin{array} { c } ext { College } \ ext { Professor }\end{array} & 12 & 44 & 99 & 37 & 192 \\hline ext { Secretary } & 21 & 45 & 63 & 49 & 178 \\hline ext { Store Clerk } & 18 & 44 & 70 & 50 & 182 \\hline ext { Total } & 60 & 177 & 327 & 186 & 750 \\hline\end{array} Career Attorney College Professor Secretary Store Clerk Total 50 − 55 9 12 21 18 60 56 − 60 44 44 45 44 177 61 − 65 95 99 63 70 327 Over 65 50 37 49 50 186 Total 198 192 178 182 750 What is the probably that a person who was an attorney retired between the ages of 50 and 55?A) 0.012B) 0.264C) 0.080D) 0.045E) 0.150

Question

The table shows the careers of a group of retired people and their ages at retirement. Age at Retirement    Career  50 − 55 56 − 60 61 − 65  Over 65   Total   Attorney  9 44 95 50 198  College   Professor  12 44 99 37 192  Secretary  21 45 63 49 178  Store Clerk  18 44 70 50 182  Total  60 177 327 186 750 \begin{array} { | c | c | c | c | c | c | } \hline 	ext { Career }  &  50 - 55  &  56 - 60  &  61 - 65  &  	ext { Over 65 }  &  	ext { Total } \\hline 	ext { Attorney }  &  9  &  44  &  95  &  50  &  198 \\hline \begin{array} { c } 	ext { College } \	ext { Professor }\end{array}  &  12  &  44  &  99  &  37  &  192 \\hline 	ext { Secretary }  &  21  &  45  &  63  &  49  &  178 \\hline 	ext { Store Clerk }  &  18  &  44  &  70  &  50  &  182 \\hline 	ext { Total }  &  60  &  177  &  327  &  186  &  750 \\hline\end{array}  Career   Attorney   College   Professor  ​  Secretary   Store Clerk   Total  ​ 50 − 55 9 12 21 18 60 ​ 56 − 60 44 44 45 44 177 ​ 61 − 65 95 99 63 70 327 ​  Over 65  50 37 49 50 186 ​  Total  198 192 178 182 750 ​ ​   What is the probably that a person who was an attorney retired between the ages of 50 and 55?A) 0.012B) 0.264C) 0.080D) 0.045E) 0.150

Isabel Aguilo · Accepted Answer

Final Answer : D, Explanation :  The probability is calculated by dividing the number of attorneys who retired between 50 and 55 by the total number of attorneys: 9/198 = 0.045.

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