Probability and Conditional Probabilities Exercise Researchers are...

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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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