In: Statistics and Probability
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?