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A Company Is Interviewing Applicants for Managerial Positions

question 178

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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 10 applicants of whom 4 are women.Unable to differentiate further between the applicants,they choose two people at random from this group of 10.Let the random variable X be the number of men that are chosen.Find the expected value of X.


Definitions:

Careless and Irresponsible

Exhibiting a lack of concern or attention to duties and obligations, often resulting in harm or risk.

Conscientiousness

A personality trait characterized by diligence, carefulness, and the desire to do a task well, often associated with high levels of responsibility.

Big Five Personality Traits

are five broad dimensions of personality used to describe human character traits: openness, conscientiousness, extraversion, agreeableness, and neuroticism.

Responsible, Dependable, Careful

describes attributes of an individual who is reliable, can be trusted to complete tasks, and takes precautions to avoid mistakes.

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