Given the contingency table shown here, find the probability that a randomly chosen employee is a line worker who plans to retire at age 65. Survey question: Do you plan on retiring or keep working when you turn 65? $$\begin{array} { | l | c | c | c | }
\hline\text { Employee } & \text { Retire } ( R ) & \text { Work } ( W ) & \text { Total }\
\hline \text { Management } ( M ) & 13 & 18 &31 \
\hline \text { Line worker } ( L ) & 39 & 54 & 93 \
\hline \text { Total } & 52 & 72 & 124\
\hline
\end{array}$$
A).227
B).419
C).750
D).315

Question

Given the contingency table shown here, find the probability that a randomly chosen employee is a line worker who plans to retire at age 65. Survey question: Do you plan on retiring or keep working when you turn 65? $$\begin{array} { | l | c | c | c | } 
\hline\text { Employee } & \text { Retire } ( R ) & \text { Work } ( W ) & \text { Total }\
\hline  \text { Management } ( M ) & 13 & 18 &31 \
\hline  \text { Line worker } ( L ) & 39 & 54 & 93 \
\hline  \text { Total } & 52 & 72 & 124\
\hline
\end{array}$$
A).227
B).419
C).750
D).315

Quizplus · Accepted Answer

The probability that a randomly chosen employee is a line worker who plans to retire at age 65 is the number of line workers who plan to retire divided by the total number of employees. From the table, we see that there are 39 line workers who plan to retire, out of a total of 124 employees. Therefore, the probability is:
$$\frac{39}{124} \approx 0.315$$
rounded to three decimal places. Therefore, the best answer choice is (D).

Given the Contingency Table Shown Here, Find the Probability That