10 1 point Create the probability table for the combined Houses of Congress based upon the data presented in the instructions for Case Study 2. Republican Democrat Independent Libertarian Total Male [a] bl c [d] [e] Female [f] g [h] Total [K] [O] [m] [n] [o] Male: a) type your answer... b ) type your answer... C) type your answer... d) type your answer... e) type your answer... -Female f) type your answer... g) type your answer... h ) type your answer... i) type your answer... type your answer... -Total k) type your answer... type your answer... m) type your answer... n) type your answer... 0) type your answer... 11 2 points Among the members of both houses of Congress, what are the probabilities of the following event: a. A randomly selected member is Independent? type your answer... b. A randomly selected member is Female and a Republican? type your answer.. c. A randomly selected member is a not Male or is Independent. type your answer... Give your answer as a proportion to four decimal places or as a percentage to no more than two decimal place.1 point 4. Among the members of the House of Representatives, are the events below independent or dependent: a. "being female" and "being Democrat"? choose your answer... V l b. "being male" and "being Republican"? choose your answer... V l c. "being female" and "being Libertarian"? choose your answer... V l d) The reason two variables are independent is choose your answer... V l n 2 points 5. A senator is selected at random, nd the probability of each event: a. The senator is male type your answer... l b. The senator is not a Republican l type your answer... c. The senator is female, given that the senator is a Republican l type your answer... l d. The senator is a female, or a Republican l type your answer... e. The senator is male and a Democrat type your answer... l Give your answer as a proportion to two or three decimal places or as a percentage to no more than one decimal place. n 1 point 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"? l choose your answer... V l b. "being Independent" and "being Democrat"? choose your answer... V c. "being male" and not "being Republican"? ' Choose Your answer... V l 1 point 5? Find the probability that a randomly selected senator is female. Give your answer as a proportion to two or three decimal places or as a percentage to no more than one decimal place. ' type your answer... 1 point Q What can you say about the proportion of female representatives to female senators? Click all that apply. The similar proportions means that the variable "sex" and "house of congress to which one belongs" are independent The proportions are not the same, with the probability of being a member of the House of the Senate signicantly higher than being in the House of Representatives for females. The proportions are very similar in both houses The proportions are not the same, with the probability of being a member of the House of Representatives signicantly higher than being in the House of the Senate for females. GOODS The difference in the proportions means that the variable "sex" and "house of congress to which one belongs" are dependent n 2 points 3? A representative is selected at random, nd the probability of each event: a. The representative is male ' type your answer... ' b. The representative is a Republican I type your answer... c. The representative is male, given that the representative is a Republican ' type your answer... ' d. The representative is not male, nor a Republican type your answer... e. The representative is female and a Democrat type your answer... Give your answer as a proportion to two or three decimal places or as a percentage to no more than one decimal place. type your answer... j) type your answer... k) type your answer... type your answer... 2 3 points Create the probability table for the House of the Senate based upon the data presented in the instructions for Case Study 2. Republican Democrat Independent Total |Male [a] [b] [c] [d] Female [e] [f] [g] [h] Total [k] Male: a) type your answer... b) type your answer... C) type your answer... d) type your answer... -Female: e) type your answer... f) type your answer... g) type your answer... h ) type your answer... -Total: i) type your answer... j) type your answer... k ) type your answer... 1) type your answer... 3 1 point Find the probability that a randomly selected representative is female. Give your answer as a proportion to two or three decimal places or as a percentage to no more than one decimal place. type your answer...Case Study 2 Application 1 3 points Create the probability table for the House of Representatives based upon the data presented in the instructions for Case Study 2. Create the probability table for the House of Representatives based upon the data presented in the instructions for Case Study 2. Republican Democrat Libertarian Total Male [a] [b] [c] [d] Female [e] [f] [g] [h] Total [O] [k] [O] Male: a) type your answer... b) type your answer... C) type your answer... d) type your answer... ----------Female: e) type your answer... f) type your answer... g type your answer... h) type your answer... -Total: i) type your answer... type your answer... K) type your answer... type your answer... 2 3 points Create the probability table for the House of the Senate based upon the data presented in the instructions for Case Study 2. Republican Democrat Independent Total Male [a] [b] [c] [d]1 0 / 2 points Determine if the following example represent a discrete or continuous random variable: X (no answer) The time it takes to complete an exam X (no answer) The volume of blood drawn for a blood test X (no answer) The number of texts a student sends in one day X (no answer) The hurricanes in a five year period 2 0 / 2 points The number of high definition (HD) TVs per households in a small town. Televisions 0 2 3 Households 26 442 728 1404 The number of high definition (HD) TVs per households in a small town. Use the data above to create a probability distribution. ( X (no answer) X (no answer) X (no answer) X (no answer)X (no answer) X (no answer) X (no answer) 3 0 / 1 point The number of high definition (HD) TVs per households in a small town. Televisions 0 1 2 3 Households 26 442 728 1404 Would it be unusual for a household to have no high definition (HD) TVs? O no yes X (no answer) 4 0 / 3 points The number of high definition (HD) TVs per households in a small town. Televisions 0 1 2 3 Households 26 442 728 1404The number of high definition (HD) TVs per households in a small town. The probability mean is X (no answer) round to two decimal places The probability variance is X (no answer) round to 4 decimal places The probability standard deviation is X (no answer) round to three decimal places 5 0/ 2 points The number of high definition (HD) TVs per households in a small town. Televisions 0 1 2 3 Households 26 442 728 1404 The number of high definition (HD) TVs per households in a small town. In an average household in this small town, the expected value of the number of HD TVs is X (no answer) , with a standard deviation of X (no answer) meaning that the range of the number of high definition (HD) TVs in more than two-thirds of the households vary between X (no answer) and X (no answer) TVS.0/1 point If the z-score is O, which statement is true? 0 The standard deviation is 0. O The mean is equal to 0. O The corresponding x value is 0. O The corresponding x value is equal to the mean 0/2 points The difference between the standard normal distribution and a normal distribution is described in which of the following statements? Check all that apply. C] In the standard normal distribution, the standard deviation is 1 C] In the standard normal distribution, the mean can be set to any value [3 In the standard normal distribution, we nd the p-values for zscores C] In the standard normal distribution, we nd the p-values for values of x C] In the standard normal distribution, the standard deviation can be set to any value C] In the standard normal distribution, the mean is O n (no answer) l 3 0 / 6 points For each problem, find the associated p-value. Round all answers to four decimal places. Use StatCrunch. Go to Stat - Calculator - Normal From page 243 of your textbook 17. 18. 1.3 -1.5 19. 20. -2.3 0 21. 22. -0.7 0 1.2 -2.25 17. X (no answer) 18. X (no answer) 19. X (no answer) 20. X (no answer) 21 X (no answer) 22.b 21. Al -2.3 0 22. I i 1.2 1 -2.Z5 0 z 17- X 18- 19- 20- 21- 22- X (no answer) eh I .9 q o 0/ 1 point Find the pvalue for the area under the standard normal distribution to the left of -1.28 and to the right of 1.28. Round your answer to four decimal places. X (no answer) Case Study 2 Instructions 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, nd the probability of each event: 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, nd 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