The two-way table summarizes data from the human resource department at a university: New Hires $$\begin{array} { l | c c | c }
& \text { Tenure } & \text { Adjunct } & \text { Total } \
\hline \text { Men } & 20 & 23 & 43 \
\text { Women } & 16 & 24 & 40 \
\hline \text { Total } & 36 & 47 & 83
\end{array}$$ What is the probability (rounded to three decimal places)that a tenure-track new hire is female?
A)0.434
B)0.400
C)0.444
D)0
E)0.193

Question

The two-way table summarizes data from the human resource department at a university: New Hires $$\begin{array} { l | c c | c } 
& \text { Tenure } & \text { Adjunct } & \text { Total } \
\hline \text { Men } & 20 & 23 & 43 \
\text { Women } & 16 & 24 & 40 \
\hline \text { Total } & 36 & 47 & 83
\end{array}$$ What is the probability (rounded to three decimal places)that a tenure-track new hire is female?
A)0.434
B)0.400
C)0.444
D)0
E)0.193

Quizplus · Accepted Answer

To find the probability of a tenure-track new hire being female, we need to look at the "Tenure-track" row and the "Female" column, which has a value of 12. To calculate the probability, we take the number of female tenure-track new hires (12) and divide it by the total number of tenure-track new hires (27). This gives us a probability of 0.444, which rounded to three decimal places is 0.444. Therefore, the correct answer is C: 0.444.

The Two-Way Table Summarizes Data from the Human Resource Department