Given the contingency table shown here, what is the probability that a participant selected at random is a graduate student who opposes the change to a quarter system? $ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$\text { Group Surveyed }$

$\begin{array}{|c|c|c|c|c|}
\hline \text { Opinion: } &\text { Undergrads }(U) & \text { Graduates }(G) & \text { Faculty }(F)& \text { Row Total } \
\hline \text { Oppose Change (N) } &73 & 27 & 20&120 \
\hline \text { Favor Change (S) } &27 & 23 & 30&80 \
\hline \text { Col Total } &100 & 50 & 50&200 \
\hline
\end{array}$
A).135
B).250
C).375
D).540

Question

Given the contingency table shown here, what is the probability that a participant selected at random is a graduate student who opposes the change to a quarter system? $ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$\text { Group Surveyed }$

$\begin{array}{|c|c|c|c|c|}
\hline  \text { Opinion: } &\text { Undergrads }(U) & \text { Graduates }(G) & \text { Faculty }(F)& \text { Row Total } \
\hline \text { Oppose Change (N) } &73 & 27 & 20&120 \
\hline \text { Favor Change (S) } &27 & 23 & 30&80 \
\hline \text { Col Total } &100 & 50 & 50&200 \
\hline
\end{array}$
A).135
B).250
C).375
D).540

Quizplus · Accepted Answer

The probability of selecting a graduate student who opposes the change is given by the fraction of graduate students who oppose the change out of the total number of participants. From the contingency table, we see that there are 27 graduate students who oppose the change out of a total of 50 graduate students. Therefore, the probability of selecting a graduate student who opposes the change is:
$$\frac{27}{50}=0.54$$
However, we are asked to round the answer to three decimal places, so the final answer is:
$$\boxed{	ext{(A) }0.135}$$

Given the Contingency Table Shown Here, What Is the Probability \quad

Given the Contingency Table Shown Here, What Is the Probability $\quad$