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.
\u00a0
1. Create a contingency table for the House of Representatives.\u00a0
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:
\u00a0 \u00a0 \u00a0a. The representative is male
\u00a0 \u00a0 \u00a0b. The representative is a Republican
\u00a0 \u00a0 \u00a0c. The representative is male, given that the representative is a Republican
\u00a0 \u00a0 \u00a0d. The representative is not male, nor a Republican
\u00a0 \u00a0 \u00a0e. The representative is female and a Democrat
7. Among the members of the House of Representatives, are the events below independent or dependent:
\u00a0 \u00a0 \u00a0a. “being female” and “being Democrat”? Explain.
\u00a0 \u00a0 \u00a0b. “being male” and “being Republican”? Explain.
\u00a0 \u00a0 \u00a0c. “being female” and “being Libertarian”? Explain.
8. A senator is selected at random, find the probability of each event:
\u00a0 \u00a0 \u00a0a. The senator is male
\u00a0 \u00a0 \u00a0b. The senator is not a Republican
\u00a0 \u00a0 \u00a0c. The senator is female, given that the senator is a Republican
\u00a0 \u00a0 \u00a0d. The senator is a female, or a Republican
\u00a0 \u00a0 \u00a0e. 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:
\u00a0 \u00a0 \u00a0a. “being female” and “being Independent”? Explain.
\u00a0 \u00a0 \u00a0b. “being Independent” and “being Democrat”? Explain.
\u00a0 \u00a0 \u00a0c. “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:
\u00a0 \u00a0 \u00a0a. A randomly selected member is Independent?
\u00a0 \u00a0 \u00a0b. A randomly selected member is Female and a Republican?
\u00a0 \u00a0 \u00a0c. A randomly selected member is a not Male or is Independent. <\/p>\n","protected":false},"excerpt":{"rendered":"
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 […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[33],"class_list":["post-10093","post","type-post","status-publish","format-standard","hentry","category-research-paper-writing","tag-mathematics"],"_links":{"self":[{"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/posts\/10093","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/comments?post=10093"}],"version-history":[{"count":0,"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/posts\/10093\/revisions"}],"wp:attachment":[{"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/media?parent=10093"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/categories?post=10093"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/tags?post=10093"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}