A Company Is Interviewing Applicants for Managerial Positions $$\begin{array} { l | c c c } \text { Number men } & 0 & 1 & 2 \\\hline \text { P(Number men) } & 0.167 & 0.410 & 0.278\end{array}$$

A company is interviewing applicants for managerial positions.They plan to hire two people.They have already rejected most candidates and are left with a group of 9 applicants of whom 4 are women.Unable to differentiate further between the applicants,they choose two people at random from this group of 9.Let the random variable X be the number of men that are chosen.Find the probability model for X.

A) $$\begin{array} { l | c c c } \text { Number men } & 0 & 1 & 2 \\\hline \text { P(Number men) } & 0.167 & 0.410 & 0.278\end{array}$$
B) $$\begin{array} { l | c c c } \text { Number men } & 0 & 1 & 2 \\\hline \text { P(Number men) } & 0.198 & 0.494 & 0.309\end{array}$$
C) $$\begin{array} { l | c c c } \text { Number men } & 0 & 1 & 2 \\\hline \text { P(Number men) } & 0.278 & 0.556 & 0.167\end{array}$$
D) $$\begin{array} { l | c c c } \text { Number men } & 0 & 1 & 2 \\\hline \text { P(Number men) } & 0.167 & 0.278 & 0.278\end{array}$$
E) $$\begin{array} { c | c c c } \text { Number men } & 0 & 1 & 2 \\\hline \text { P(Number men) } & 11.077 & 66.462 & 66.462\end{array}$$

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