An Advocacy Group Is Investigating Whether Gender Has an Effect

Multiple Choice

An advocacy group is investigating whether gender has an effect on job category in large investment firms. She surveyed a sample of firms with the following results: $$\begin{array} { | l | l | l | } \hline \text { Job Category } & \text { Male } & \text { Female } \\\hline \text { Clerical / Technical } & 85 & 215 \\\hline \text { Professional Staff } & 720 & 480 \\\hline \text { Executive / Managerial } & 400 & 100 \\\hline\end{array}$$ What is the probability that a randomly selected employee's job category is executive /
Managerial given that she is female?

A) 0.13
B) 0.20
C) 0.80
D) 0.05
E) 0.45