Employees of a Local University Have Been Classified According to Gender

Multiple Choice

Employees of a local university have been classified according to gender and job type. $\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\text { Gender }$

$\begin{array} { l c c } \text { Job } & \text { Male (M) } & \text { Female (F) } \\\text { Faculty (FA) } & 110 & 10 \\\text { Salaried staff (SS) } & 30 & 50 \\\text { Hourly staff (HS) } & 60 & 40\end{array}$
Are gender and type of job statistically independent?

A) Yes
B) No
$P(M) =P(M \mid F A)$

$\text { Since } P(M) =200 / 300=0.667$

$\text { and } P(M \mid F A) =110 / 120=0.9167$

$0.667 \neq .9167$