Discussion Questions: 1. Describe what an unusual event is. What is the typical cutoff point for unusual events? 2. Are complementary events always mutually exclusive? Give one example to support the answer. 3. Are mutually exclusive events always complementary? Give one example to support the answer. 4. Write a sentence describing each of the following probabilities. (Note: A' = the complement of event A) . P(A or A') = 1 . P(A and A') = 0 5. When asked "Should we raise taxes on the top 1%," a group of randomly selected adults gave the following results: Should we raise taxes on the top 1%? Yes No Undecided Democrat 52 40 18 Political Party Republican 23 55 12 a) Suppose a person is randomly selected from this group: Find the probability that the person is a Republican or says Yes. Is the event unusual? . Find the probability that the person says No and Undecided. Is the event unusual? Find the probability that the person says Yes, given the person is a Democrat. Is the event unusual? . Are the events "Democrat" and "Yes" mutually exclusive? Justify your answer. . Are the events "Democrat" and "Yes" independent? Justify your answer. b) Suppose 2 different people are randomly selected: . Find the probability that none Republican is selected. Is the event unusual? . Find the probability that at least one is a Democrat is selected. Is the event unusual