this is statistical accounting

Congress is made up of the House of Representatives and the Senate. Members of the House of Representatives serve two-year terms and represent a district in a state. The number of representatives for each state is determined by population. States with larger populations have more representatives than states with smaller populations. The total number of representatives is set by law at 435. Members of the Senate serve six-year terms and represent a state. Each state has 2 senators, for a total of 100 senators. The tables show the makeup of the 115th Congress by gender and political party as of January 3, 2017. House of Representatives Political party Republican 218 23 Male Female Total Democrat Independent Total 129 0 347 65 0 88 194 0 435 Gender 241 Senate Political party Democrat Independent Total Republican 47 5 2 Male Female Total 30 16 Gender 0 79 21 100 52 46 2 167 EXERCISES 1. Find the probability that a randomly selected representative is female. Find the probability that a randomly selected senator is female. 2. Compare the probabilities from Exercise 1. 3. A representative is selected at random. Find the probability of each event. (a) The representative is male. (b) The representative is a Republican. (c) The representative is male given that the representative is a Republican. (d) The representative is female and a Democrat. 4. Among members of the House of Representatives, are the events "being female" and being a Democrat" independent or dependent events? Explain. 5. A senator is selected at random. Find the probability of each event. (a) The senator is male. (b) The senator is not a Democrat. (c) The senator is female or a Republican. (d) The senator is male or a Democrat. 6. Among members of the Senate, are the events "being female" and "being an Independent" mutually exclusive? Explain. 7. Using the same row and column headings as the tables above, create a combined table for Congress. 8. A member of Congress is selected at random. Use the table from Exercise 7 to find the probability of each event. (a) The member is Independent (b) The member is female and a Republican. (c) The member is male or a Democrat