Question 3 8 pts A restaurant chain has locations across the United States. The table below shows the size of the city and the region of the country where their restaurants are located. Compute the indicated values, rounding your answers to three decimal places, if necessary. Northeast Southeast Southwest Northwest TOTAL Small 2 14 7 0 23 Moderate 36 5 29 12 82 Large TOTAL 48 10 17 60 135 86 29 53 72 240 i. What is the marginal frequency for Moderate cities? ii. What is the probability that a randomly selected restaurant is in a Small city in the Southeast? iii. What is the probability that a randomly selected restaurant is in a Small city or in the Southeast? iv. What is the probability that a randomly selected restaurant is in the Southwest or the Northwest? v. What is the probability that a randomly selected restaurant is in a Large city, given it is in the Northeast? vi. What is the probability that a randomly selected restaurant is in the Northeast, given it is in a Large city? vii. What is the probability that two randomly selected restaurants will both be in Large cities, if they are selected with replacement? viii. What is the probability that two randomly selected restaurants will both be in Large cities, if they are selected without replacement? Question 2 2 pts A sample of 910 randomly selected registered voters in Tampa, Florida were asked their political ideology and whether or not they supported the DREAM Act, which provides a path to citizenship for people brought illegally to the US as children. The results are shown in the segmented bar graph below. Proportion 1.0 0.8 0.6 -- 0.4 -- 0.2 0.0 Conservative Moderate Liberal Political ideology Support DREAM Act Yes No Not sure i. Is there an association between political ideology and support of the DREAM Act? [Select] ii. Describe the association. [Select] ii. Describe the association [Select] Conservatives and moderates feel roughly the same about the DREAM Act. Liberals are more likely to support the DREAM Act than Conservatives or Moderates. All political ideologies are more in support of the DREAM Act than against or unsure about it. There is no association between political ideology and support of the DREAM Act.