A 2010 Pew Research poll asked 1,306 Americans \"From what you'veread and heard, is there solid evidence that the averagetemperature on earth has been getting warmer over the past fewdecades, or not?\". The table below shows the distribution ofresponses by party and ideology, where the counts have beenreplaced with relative frequencies. Earth is warming Not warmingDon't know (or refuse) Total Conservative Republican 0.11 0.2 0.020.33 Mod/Lib Republican 0.06 0.06 0.01 0.13 Mod/Cons Democrat 0.250.07 0.02 0.34 Liberal Democrat 0.18 0.01 0.01 0.2 Total 0.6 0.340.06 1 a) Are believing that the earth is warming and being aliberal Democrat mutually exclusive? not mutually exclusivemutually exclusive b) What is the probability that a randomlychosen respondent believes the earth is warming or is a liberalDemocrat? (please round to four decimal places) c) What is theprobability that a randomly chosen respondent believes the earth iswarming given that he is a liberal Democrat? (please round to fourdecimal places) d) What is the probability that a randomly chosenrespondent believes the earth is warming given that he is aconservative Republican? (please round to four decimal places) e)Does it appear that whether or not a respondent believes the earthis warming is independent of their party ideology? belief in globalwarming and party ideology are dependent belief in global warmingand party ideology are independent f) What is the probability thata randomly chosen respondent is a moderate/liberal Republican giventhat he does not believe that the earth is warming? (please roundto four decimal places)
