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The next set of questions (Q3-12) refers to the following random experiment: In 2007, there were 37,276,000 Americans officially classified as poor. 27,086,000 of the poor were living with at least one other family member and the other 10 , 190 , 000 were living in households with no family member present. Let's refer to a person in the first group as a "related individual" (R) and a person in the second group as an "unrelated individual" (U). Our random experiment will be to draw three persons from the population of those who are officially classified as poor. We're interested in the family status of the three people in our sample. 3. What is the probability of the basic outcome URU, i.e., drawing an unrelated individual on the first draw, a related individual on the second, and another unrelated individual on the last? (Does it matter if we are sampling with or without replacement?) 4. Let's define Event 1 ( E 1 ) to be drawing at least 1 related individual. What is P 1 ( E 1 ) ? 5. Let's define Event 2 ( E 2 ) to be drawing exactly 2 unrelated individuals. What is P ( E 2 ) ? 6. What is P ( E 1 E 2 ) ? 7. What is P ( E 1 E 2 ) ? 8. What is P ( E 1 E 2 ) ? 9. What is P ( E 2 E 1 ) ? 10. What is P ( E 1 E 2 ) ? 11. Are E 1 and E 2 mutually exclusive events? 12. Are E 1 and E 2 statistically independent events? .

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