The following contingency table provides a joint frequency distribution for a group of retired people by career and age at retirement. Age at Retirement $57168291166682\begin{array} { | c | c | c | c | c | c | } \hline \text { Career } & 50 - 55 & 56 - 60 & 61 - 65 & \text { Over 65 } & \text { Total } \\\hline \text { Attorney } & 8 & 41 & 87 & 36 & 172 \\\hline \begin{array} { c } \text { College } \\\text { Professor }\end{array} & 10 & 38 & 71 & 31 & 150 \\\hline \text { Secretary } & 21 & 45 & 63 & 49 & 178 \\\hline \text { Store Clerk } & 18 & 44 & 70 & 50 & 182 \\\hline \text { Total } & 57 & 168 & 291 & 166 & 682 \\\hline\end{array}$ Suppose one of these people is selected at random.Compute the probability that the person selected was a store clerk.

A) 0.084
B) 0.099
C) 0.316
D) 0.267
E) 0.026

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    Career  50 − 55 56 − 60 61 − 65  Over 65   Total   Attorney  8 41 87 36 172  College   Professor  10 38 71 31 150  Secretary  21 45 63 49 178  Store Clerk  18 44 70 50 182  Total  57 168 291 166 682 \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 }  &  8  &  41  &  87  &  36  &  172 \\hline \begin{array} { c } 	ext { College } \	ext { Professor }\end{array}  &  10  &  38  &  71  &  31  &  150 \\hline 	ext { Secretary }  &  21  &  45  &  63  &  49  &  178 \\hline 	ext { Store Clerk }  &  18  &  44  &  70  &  50  &  182 \\hline 	ext { Total }  &  57  &  168  &  291  &  166  &  682 \\hline\end{array}  Career   Attorney   College   Professor  ​  Secretary   Store Clerk   Total  ​ 50 − 55 8 10 21 18 57 ​ 56 − 60 41 38 45 44 168 ​ 61 − 65 87 71 63 70 291 ​  Over 65  36 31 49 50 166 ​  Total  172 150 178 182 682 ​ ​   Suppose one of these people is selected at random.Compute the probability that the person selected was a store clerk.A) 0.084B) 0.099C) 0.316D) 0.267E) 0.026

Suchada Matin · Accepted Answer

Final Answer : D, Explanation :   The probability that the person selected was a store clerk is calculated by dividing the total number of store clerks by the total number of people. There are 182 store clerks out of a total of 682 people, so the probability is   182 / 682 = 0.267 182 / 682 = 0.267 182/682 = 0.267  .

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