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A 2010 Pew Research poll asked 1,306 Americans "From what you've read and heard, is there solid evidence that the average temperature on earth has been getting warmer over the past few decades, or not?". The table below shows the distribution of responses by party and ideology, where the counts have been replaced with relative frequencies. Conservative Republican Mod/Lib Republican Mod/Cons Democrat Liberal Democrat Total Earth is warming Not warming 0.11 0.06 0.25 0.18 0.6 0.2 0.06 0.07 0.01 0.34 Don't know (or refuse) 0.02 0.01 0.02 0.01 0.06 a) Are believing that the earth is warming and being a liberal Democrat mutually exclusive? not mutually exclusive mutually exclusive Total 0.33 0.13 0.34 0.2 1 b) What is the probability that a randomly chosen respondent believes the earth is warming or is a liberal Democrat? (please round to four decimal places) c) What is the probability that a randomly chosen respondent believes the earth is warming given that he is a liberal Democrat? (please round to four decimal places) d) What is the probability that a randomly chosen respondent believes the earth is warming given that he is

A 2010 Pew Research poll asked 1,306 Americans "From what you've read and heard, is there solid evidence that the average temperature on earth has been getting warmer over the past few decades, or not?". The table below shows the distribution of responses by party and ideology, where the counts have been replaced with relative frequencies. Conservative Republican Mod/Lib Republican Mod/Cons Democrat Liberal Democrat Total Earth is warming Not warming 0.11 0.06 0.25 0.18 0.6 0.2 0.06 0.07 0.01 0.34 Don't know (or refuse) 0.02 0.01 0.02 0.01 0.06 a) Are believing that the earth is warming and being a liberal Democrat mutually exclusive? not mutually exclusive mutually exclusive Total 0.33 0.13 0.34 0.2 1 b) What is the probability that a randomly chosen respondent believes the earth is warming or is a liberal Democrat? (please round to four decimal places) c) What is the probability that a randomly chosen respondent believes the earth is warming given that he is a liberal Democrat? (please round to four decimal places) d) What is the probability that a randomly chosen respondent believes the earth is warming given that he is

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A 2010 Pew Research poll asked 1,306 Americans "From what you've read and heard, is there solid evidence that the average temperature on earth has been getting warmer over the past few decades, or not?". The table below shows the distribution of responses by party and ideology, where the counts have been replaced with relative frequencies. Conservative Republican Mod/Lib Republican Mod/Cons Democrat Liberal Democrat Total Earth is warming Not warming 0.11 0.2 0.06 0.06 0.25 0.07 0.18 0.01 0.6 0.34 Don't know (or refuse) 0.02 0.01 0.02 0.01 0.06 a) Are believing that the earth is warming and being a liberal Democrat mutually exclusive? not mutually exclusive mutually exclusive Total 0.33 0.13 0.34 0.2 1 b) What is the probability that a randomly chosen respondent believes the earth is warming or is a liberal Democrat? (please round to four decimal places) c) What is the probability that a randomly chosen respondent believes the earth is warming given that he is a liberal Democrat? (please round to four decimal places) d) What is the probability that a randomly chosen respondent believes the earth is warming given that he is a conservative Republican? (please round to four decimal places) e) Does it appear that whether or not a respondent believes the earth is warming is independent of their party ideology? O belief in global warming and party ideology are dependent O belief in global warming and party ideology are independent f) What is the probability that a randomly chosen respondent is a moderate/liberal Republican given that he does not believe that the earth is warming? (please round to four decimal places)
Transcribed Image Text:A 2010 Pew Research poll asked 1,306 Americans "From what you've read and heard, is there solid evidence that the average temperature on earth has been getting warmer over the past few decades, or not?". The table below shows the distribution of responses by party and ideology, where the counts have been replaced with relative frequencies. Conservative Republican Mod/Lib Republican Mod/Cons Democrat Liberal Democrat Total Earth is warming Not warming 0.11 0.2 0.06 0.06 0.25 0.07 0.18 0.01 0.6 0.34 Don't know (or refuse) 0.02 0.01 0.02 0.01 0.06 a) Are believing that the earth is warming and being a liberal Democrat mutually exclusive? not mutually exclusive mutually exclusive Total 0.33 0.13 0.34 0.2 1 b) What is the probability that a randomly chosen respondent believes the earth is warming or is a liberal Democrat? (please round to four decimal places) c) What is the probability that a randomly chosen respondent believes the earth is warming given that he is a liberal Democrat? (please round to four decimal places) d) What is the probability that a randomly chosen respondent believes the earth is warming given that he is a conservative Republican? (please round to four decimal places) e) Does it appear that whether or not a respondent believes the earth is warming is independent of their party ideology? O belief in global warming and party ideology are dependent O belief in global warming and party ideology are independent f) What is the probability that a randomly chosen respondent is a moderate/liberal Republican given that he does not believe that the earth is warming? (please round to four decimal places)
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