3 Probability Republican Democrat Independent Total Male 218 129 C 347 Gender Female 23 65 88 Total 241 194 435 Senate Political party Republican Democrat Independent Total Male 47 30 79 ON Gender Female 5 16 21 Total 52 46 2 100 EXERCISES 1. Find the probability that a randomly selected 5. A senator is selected at random. Find the representative is female. Find the probability probability of each event. that a randomly selected senator is female. (a) The senator is male. 2. Compare the probabilities from Exercise 1. (b) The senator is not a Democrat. 3. A representative is selected at random. Find the (c) The senator is female or a Republican. probability of each event. (d) The senator is male or a Democrat. (a) The representative is male. 6. Among members of the Senate, are the events (b) The representative is a Republican. "being female" and "being an Independent" (c) The representative is male given that the mutually exclusive? Explain. representative is a Republican. 7. Using the same row and column headings as (d) The representative is female and a the tables above, create a combined table for Democrat. Congress. 4. Among members of the House of 8. A member of Congress is selected at random. Representatives, are the events "being female" Use the table from Exercise 7 to find the and "being a Democrat" independent or probability of each event