Given the contingency table shown here, find the probability that a randomly chosen individual is a female economics major. $ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$\text { Major }$
$\begin{array} {| c | c | c | c | c| }
\hline\text { Gender } & \text { Accounting } ( A ) & \text { Gen. Mgmt. } ( G ) & \text { Economics } ( E ) & \text { Row Total } \
\hline\text { Male } ( M ) & 210 & 180 & 140 & 530 \
\hline \text { Female } ( F ) & 150 & 160 & 160 & 470 \
\hline \quad \text { Col Total } & 360 & 340 & 300 & 1000\
\hline
\end{array}$
A).3404
B).4700
C).1600
D).5333

Question

Given the contingency table shown here, find the probability that a randomly chosen individual is a female economics major. $ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$\text { Major }$
$\begin{array} {|  c | c | c | c | c|  } 
\hline\text { Gender } & \text { Accounting } ( A ) & \text { Gen. Mgmt. } ( G ) & \text { Economics } ( E ) & \text { Row Total } \
\hline\text { Male } ( M ) & 210 & 180 & 140 & 530 \
\hline  \text { Female } ( F ) & 150 & 160 & 160 & 470 \
\hline  \quad \text { Col Total } & 360 & 340 & 300 & 1000\
\hline
\end{array}$
A).3404
B).4700
C).1600
D).5333

Quizplus · Accepted Answer

To find the probability that a randomly chosen individual is a female economics major, we need to look at the cell in the contingency table that corresponds to this category, which has a value of 160. To get the probability, we divide this value by the total number of individuals in the sample, which is 1000. Therefore, the probability is 160/1000 = 0.16 or 16%. The answer that matches this is choice C).

Given the Contingency Table Shown Here, Find the Probability That \quad

Given the Contingency Table Shown Here, Find the Probability That $\quad$