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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.

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.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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In a 2010 Pew Research poll, 1,306 Americans were asked, "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 presents the distribution of responses by political party and ideology, with counts replaced by relative frequencies. | | Earth is warming | Not warming | Don't know (or refuse) | Total | |---------------------------|------------------|-------------|------------------------|-------| | Conservative Republican | 0.11 | 0.2 | 0.02 | 0.33 | | Mod/Lib Republican | 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 | The table indicates the percentage of individuals within each group who believe the earth is warming, do not believe it is warming, or do not know/refuse to answer.
Transcribed Image Text:In a 2010 Pew Research poll, 1,306 Americans were asked, "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 presents the distribution of responses by political party and ideology, with counts replaced by relative frequencies. | | Earth is warming | Not warming | Don't know (or refuse) | Total | |---------------------------|------------------|-------------|------------------------|-------| | Conservative Republican | 0.11 | 0.2 | 0.02 | 0.33 | | Mod/Lib Republican | 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 | The table indicates the percentage of individuals within each group who believe the earth is warming, do not believe it is warming, or do not know/refuse to answer.
### Probability and Mutually Exclusive Events #### a) Mutually Exclusive Events **Question:** Are believing that the earth is warming and being a liberal Democrat mutually exclusive? - ☐ not mutually exclusive - ☐ mutually exclusive #### b) Probability of Belief or Political Affiliation **Question:** What is the probability that a randomly chosen respondent believes the earth is warming or is a liberal Democrat? \[ \text{(please round to four decimal places)} \] **Answer:** \[ \_\_\_\_\_\_ \] #### c) Conditional Probability **Question:** What is the probability that a randomly chosen respondent believes the earth is warming given that they are a liberal Democrat? \[ \text{(please round to four decimal places)} \] **Answer:** \[ \_\_\_\_\_\_ \]
Transcribed Image Text:### Probability and Mutually Exclusive Events #### a) Mutually Exclusive Events **Question:** Are believing that the earth is warming and being a liberal Democrat mutually exclusive? - ☐ not mutually exclusive - ☐ mutually exclusive #### b) Probability of Belief or Political Affiliation **Question:** What is the probability that a randomly chosen respondent believes the earth is warming or is a liberal Democrat? \[ \text{(please round to four decimal places)} \] **Answer:** \[ \_\_\_\_\_\_ \] #### c) Conditional Probability **Question:** What is the probability that a randomly chosen respondent believes the earth is warming given that they are a liberal Democrat? \[ \text{(please round to four decimal places)} \] **Answer:** \[ \_\_\_\_\_\_ \]
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