A Survey of an Introductory Statistics Class in Autumn 2003

question 549

Essay

A survey of an introductory statistics class in Autumn 2003 asked students whether or not
they ate breakfast the morning of the survey. Results are as follows:
a. What is the probability that a randomly selected student is female?
b. What is the probability that a randomly selected student ate breakfast?
c. What is the probability that a randomly selected student is a female who ate breakfast?
d. What is the probability that a randomly selected student is female, given that the student
ate breakfast?
e. What is the probability that a randomly selected student ate breakfast, given that the
student is female?
f. Does it appear that whether or not a student ate breakfast is independent of the student's
sex? Explain.

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Definitions:

Selling Out

The act of compromising one's values, integrity, or authenticity in exchange for personal gain, often financial.

Political Message

Information or ideas conveyed through various means intended to influence political opinions, actions, or policies.

Cultural Capital

The collection of knowledge, skills, education, and other cultural assets that a person can tap into to gain higher social status and mobility.

Black Entertainment Television

An American cable television network targeting African American audiences, offering programming that includes news, entertainment, and other content relevant to the culture.