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.

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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.
Don't
Earth is
Not
know
Total
warming warming
(or
refuse)
Conservative
0.11
0.2
0.02
0.33
Republican
Mod/Lib
0.06
0.06
0.01
0.13
Republican
Mod/Cons
0.25
0.07
0.02
0.34
Democrat
Liberal
ia
0.18
0.01
0.01
0.2
Democrat
Total
0.6
0.34
0.06
1
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. Don't Earth is Not know Total warming warming (or refuse) Conservative 0.11 0.2 0.02 0.33 Republican Mod/Lib 0.06 0.06 0.01 0.13 Republican Mod/Cons 0.25 0.07 0.02 0.34 Democrat Liberal ia 0.18 0.01 0.01 0.2 Democrat Total 0.6 0.34 0.06 1
a) Are believing that the earth is warming and being a
liberal Democrat mutually exclusive?
O not mutually exclusive
O mutually exclusive
b) What is the probability that a randomly chosen
respondent believes the earth is warming or is a liberal
(please round to four decimal
Democrat?
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)
decimal places.
Transcribed Image Text:a) Are believing that the earth is warming and being a liberal Democrat mutually exclusive? O not mutually exclusive O mutually exclusive b) What is the probability that a randomly chosen respondent believes the earth is warming or is a liberal (please round to four decimal Democrat? 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) decimal places.
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