Twenty-Five Percent of the Employees of a Large Company Are

question 103

Short Answer

Twenty-five percent of the employees of a large company are minorities. A random sample of 7 employees is selected.
a.What is the probability that the sample contains exactly 4 minorities?
b.What is the probability that the sample contains fewer than 2 minorities?
c.What is the probability that the sample contains exactly 1 non-minority?
d.What is the expected number of minorities in the sample?
e.What is the variance of the minorities?

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Definitions:

Stereotype Threat

The risk of confirming negative stereotypes about an individual's racial, ethnic, gender, or cultural group which can affect their performance in various activities.

Biased Test

An assessment that consistently produces unfair or unrepresentative results for certain groups of people.

Claude Steele

An American social psychologist known for his work on stereotype threat and its effects on performance in various domains, such as academic achievement.

Casual Sex

Sexual activities occurring outside of committed romantic relationships, often characterized by a lack of emotional attachment or long-term commitment.