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:

Confidence Levels

Measures the degree of certainty or the probability that a parameter lies within a specified interval under a given distribution.

Employee Pension Package

A retirement plan offered by employers to their employees, usually based on factors like salary and years of service.

Pension Package

A financial arrangement designed to provide income to an individual after retirement, typically comprising contributions from both employer and employee.

Registered Voters

Individuals who are officially registered to vote in elections within a specified jurisdiction.