In a Large University, 20% of the Students Are Business

question 38

Short Answer

In a large university, 20% of the students are business majors. A random sample of 100 students is selected, and their majors are recorded.
a.Compute the standard error of the proportion.
b.What is the probability that the sample contains at least 12 business majors?
c.What is the probability that the sample contains less than 15 business majors?
d.What is the probability that the sample contains between 12 and 14 business majors?

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Definitions:

Eighteenth Amendment

A U.S. Constitutional amendment enacted in 1919 that prohibited the manufacture, sale, and transportation of alcoholic beverages, later repealed by the Twenty-first Amendment.

Temperance Movement

A social and political movement advocating for the moderation or complete abstinence from alcoholic beverages, often tied to moral, religious, or health concerns.

Alcohol Abuse

The excessive and harmful consumption of alcohol leading to negative health, social, and legal consequences.

Mentally

Pertaining to the mind or psychological processes of an individual.