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. Earth is warming Not warming Don't know (or refuse) Total Conservative Republican Mod/Lib Republican 0.11 0.2 0.02 0.33 0.06 0.06 0.01 0.13 Mod/Cons Democrat 0.25 0.07 0.02 0.34 Liberal Democrat 0.18 0.01 0.01 0.2 Total 0.6 0.34 0.06 1 a) Are believing that the earth is warming and being a liberal Democrat mutually exclusive? not mutually exclusive mutually exclusive 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)

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Can you please help me with parts B, C, and D please?

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.
Earth is warming
Not warming
Don't know (or refuse)
Total
Conservative Republican
Mod/Lib Republican
0.11
0.2
0.02
0.33
0.06
0.06
0.01
0.13
Mod/Cons Democrat
0.25
0.07
0.02
0.34
Liberal Democrat
0.18
0.01
0.01
0.2
Total
0.6
0.34
0.06
1
a) Are believing that the earth is warming and being a liberal Democrat mutually exclusive?
not mutually exclusive
mutually exclusive
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)
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. Earth is warming Not warming Don't know (or refuse) Total Conservative Republican Mod/Lib Republican 0.11 0.2 0.02 0.33 0.06 0.06 0.01 0.13 Mod/Cons Democrat 0.25 0.07 0.02 0.34 Liberal Democrat 0.18 0.01 0.01 0.2 Total 0.6 0.34 0.06 1 a) Are believing that the earth is warming and being a liberal Democrat mutually exclusive? not mutually exclusive mutually exclusive 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)
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