As of January 12, 2019, the make-up of the 116th congress by sex and political party can be described as follows:
In the House of Representatives, there were 201 Republicans, of which 16 were female. There were 233 Democrats and no Independents, but 1 male Libertarian. There were a total of 107 females.
In the Senate, there were 53 Republicans and 45 Democrats. There were also 2 Independents. Of the 26 total female Senators, 9 are Republicans and none were Independent.
1. Create a contingency table for the House of Representatives.
2. Create a contingency table for the Senate.
3. Find the probability that a randomly selected representative is female.
4. Find the probability that a randomly selected senator is female.
5. Based upon the answers to questions 3 and 4, what can you say about the proportion of female representatives to female senators?
6. 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 not male, nor a Republican
e. The representative is female and a Democrat
7. Among the members of the House of Representatives, are the events below independent or dependent:
a. “being female” and “being Democrat”? Explain.
b. “being male” and “being Republican”? Explain.
c. “being female” and “being Libertarian”? Explain.
8. A senator is selected at random, find the probability of each event:
a. The senator is male
b. The senator is not a Republican
c. The senator is female, given that the senator is a Republican
d. The senator is a female, or a Republican
e. The senator is male and a Democrat
9. Among the members of the House of the Senate, are the events below mutually exclusive or not mutually exclusive:
a. “being female” and “being Independent”? Explain.
b. “being Independent” and “being Democrat”? Explain.
c. “being male” and not “being Republican”? Explain.
10. Create a combined contingency table for both houses of Congress
11. Among the members of both houses of Congress, what are the probabilities of the following event:
a. A randomly selected member is Independent?
b. A randomly selected member is Female and a Republican?
c. A randomly selected member is a not Male or is Independent.