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a. P(affiliated with neither party) = b. P(worse): c. P(worse affiliated with neither party) d. P(affiliated with neither party worse) e. P(affiliated with neither party and worse)

a. P(affiliated with neither party) = b. P(worse): c. P(worse affiliated with neither party) d. P(affiliated with neither party worse) e. P(affiliated with neither party and worse)

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
Section: Chapter Questions
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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### CBS News Poll on Party Affiliation and Economic Opinion A CBS News poll involved a nationwide random sample of 651 adults. These adults were asked about their party affiliation (Democrat, Republican, or none) and their opinion on how the US economy was changing ("getting better", "getting worse", or "about the same"). The results are summarized in the table below: | | better | same | worse | |----------------------|--------|------|-------| | Republican | 38 | 104 | 44 | | Democrat | 12 | 87 | 137 | | none | 20 | 90 | 118 | If we randomly select one of the adults who participated in this study, compute the following probabilities (rounded to four decimal places): a. **P(affiliated with neither party) =** b. **P(worse) =** c. **P(worse affiliated with neither party) =** d. **P(affiliated with neither party | worse) =** e. **P(affiliated with neither party and worse) =** **Instructions for Calculation:** 1. **Determine individual probabilities** from the data provided. 2. **P(affiliated with neither party)**: Calculate the probability that a randomly selected person is not affiliated with either major party. 3. **P(worse)**: Calculate the probability that a randomly selected person believes the economy is getting worse. 4. **P(worse affiliated with neither party)**: Determine the probability that a person not affiliated with any party believes the economy is getting worse. 5. **P(affiliated with neither party | worse)**: The probability that a person is not affiliated with either party given that they believe the economy is getting worse. 6. **P(affiliated with neither party and worse)**: The probability that a person is both not affiliated with any party and believes the economy is getting worse. This table reflects the intersection of opinions and party affiliations to facilitate understanding of the economic sentiment in relation to political adherence.
Transcribed Image Text:### CBS News Poll on Party Affiliation and Economic Opinion A CBS News poll involved a nationwide random sample of 651 adults. These adults were asked about their party affiliation (Democrat, Republican, or none) and their opinion on how the US economy was changing ("getting better", "getting worse", or "about the same"). The results are summarized in the table below: | | better | same | worse | |----------------------|--------|------|-------| | Republican | 38 | 104 | 44 | | Democrat | 12 | 87 | 137 | | none | 20 | 90 | 118 | If we randomly select one of the adults who participated in this study, compute the following probabilities (rounded to four decimal places): a. **P(affiliated with neither party) =** b. **P(worse) =** c. **P(worse affiliated with neither party) =** d. **P(affiliated with neither party | worse) =** e. **P(affiliated with neither party and worse) =** **Instructions for Calculation:** 1. **Determine individual probabilities** from the data provided. 2. **P(affiliated with neither party)**: Calculate the probability that a randomly selected person is not affiliated with either major party. 3. **P(worse)**: Calculate the probability that a randomly selected person believes the economy is getting worse. 4. **P(worse affiliated with neither party)**: Determine the probability that a person not affiliated with any party believes the economy is getting worse. 5. **P(affiliated with neither party | worse)**: The probability that a person is not affiliated with either party given that they believe the economy is getting worse. 6. **P(affiliated with neither party and worse)**: The probability that a person is both not affiliated with any party and believes the economy is getting worse. This table reflects the intersection of opinions and party affiliations to facilitate understanding of the economic sentiment in relation to political adherence.
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