## Transcribed Text

Probability and Conditional Probabilities Exercise
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
50
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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