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

question 170

Multiple Choice

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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Definitions:

Required Rate Of Return

The minimum annual percentage earned by an investment that will induce individuals or companies to put money into a particular project or investment.

Tax Rate

The percentage rate at which the government taxes an individual’s or corporation’s income.

Sliding Clutches

Sliding clutches are components in a transmission that allow for the engagement and disengagement of gears during the gear shifting process.

Twin-countershaft

A design feature in transmissions where two countershafts work in parallel to distribute the load and allow for more gear ratios, enhancing performance and durability.