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Researchers are often interested in the likelihood of sampling outcomes. They may ask questions about the...

Researchers are often interested in the likelihood of sampling outcomes. They may ask questions about the likelihood that a person with a particular characteristic will be selected to participate in a study. In this exercise, we will select a sample of one participant from the following hypothetical student population of men and women living on or off campus. The population is summarized in the following table.

Male Female Row Totals
On Campus 30 25 55
Off Campus 20 25 45
Column Totals 20 50 100

1. What is the probability of selecting a male participant?

2. What is the probability of selecting a female participant?

3. What is the probability of selecting a student who lives on campus?

4. What is the probability of selecting a student who lives off campus?

5. What is the probability of selecting a male student, given that he lives off campus?

6. What is the probability of selecting a female student, given that she lives on campus?

7. What is the probability of selecting a male student, given that he lives on campus?

8. What is the probability of selecting a female student, given that she lives off campus?

9. What is the probability of selecting a student who lives on campus, given that he is a male?

10. What is the probability of selecting a student who lives off campus, given that he is a male?

11. What is the probability of selecting a student who lives on campus, given that she is a female?

12. What is the probability of selecting a student who lives off campus, given that she is a female?

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