for a total of 100 senators. The tables show the makeup of the 115 gender and political party as of January 3, 2017. House of Representatives Political party Republican Democrat Independent Total Male 218 129 347 Gender Female 65 Total 241 194 435 Senate Political party Republican Democrat Independent Total Male 47 30 2 79 Gender Female 5 16 21 N Total 52 46 100 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 "being female" and "being an Independent" (b) The representative is a Republican. mutually exclusive? Explain. (c) The representative is male given that the representative is a Republican. 7. Using the same row and column headings as the tables above, create a combined table for (d) The representative is female and a 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. dependent events? Explain. (a) The member is Independent. (b) The member is female and a Republican. (c) The member is male or a Democrat. Case Study 167