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An Advocacy Group Is Investigating Whether Gender Has an Effect

question 33

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:  Job Category  Male  Female  Clerical / Technical 85215 Professional Staff 720480 Executive / Managerial 400100\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?

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