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e. Are the events "Yes" and "No" complementary events for this data set? Give a reason for your answer. Choose the correct answer below. OA. "Yes" and "No" are complementary because 1-P(Yes)=P(No). OB. "Yes" and "No" are complementary because 1 - P(Yes)*P(No). OC. "Yes" and "No" are not complementary because 1-P(Yes) = P(No). O D. "Yes" and "No" are not complementary because 1 - P(Yes)*P(No).

e. Are the events "Yes" and "No" complementary events for this data set? Give a reason for your answer. Choose the correct answer below. OA. "Yes" and "No" are complementary because 1-P(Yes)=P(No). OB. "Yes" and "No" are complementary because 1 - P(Yes)*P(No). OC. "Yes" and "No" are not complementary because 1-P(Yes) = P(No). O D. "Yes" and "No" are not complementary because 1 - P(Yes)*P(No).

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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Hello I need help answering part E of this problem. 

# Poll Analysis on Marijuana Legalization A poll surveyed a sample of voters regarding the legalization of marijuana. The responses were categorized based on political affiliation and whether the respondent answered "Yes" or "No." ## Table Summary | Political Affiliation | Yes | No | Total | |-----------------------|-----|-----|-------| | Republican | 145 | 142 | 287 | | Democrat | 231 | 97 | 328 | | Independent | 292 | 147 | 439 | | **Total** | 668 | 386 | 1054 | ### Questions and Solutions **a. Probability of an Independent who said "Yes"** - Calculation: \(\frac{292}{1054} \approx 27.7\%\) **b. Probability of a Republican who said "No"** - Calculation: \(\frac{142}{1054} \approx 13.5\%\) **c. Are the events "Yes" and "Democrat" mutually exclusive?** - Correct Answer: **C. "Yes" and "Democrat" are not mutually exclusive because a voter can vote "Yes" and be a "Democrat."** **d. Are the events "Yes" and "No" mutually exclusive?** - Correct Answer: **B. "Yes" and "No" are mutually exclusive because if a voter votes "Yes," they cannot also vote "No."** **e. Are the events "Yes" and "No" complementary for this data set?** - Correct Answer: **D. "Yes" and "No" are not complementary because 1 - P(Yes) ≠ P(No).** This analysis examines the probabilities within different voter categories and explores concepts of mutually exclusive and complementary events in probability.
Transcribed Image Text:# Poll Analysis on Marijuana Legalization A poll surveyed a sample of voters regarding the legalization of marijuana. The responses were categorized based on political affiliation and whether the respondent answered "Yes" or "No." ## Table Summary | Political Affiliation | Yes | No | Total | |-----------------------|-----|-----|-------| | Republican | 145 | 142 | 287 | | Democrat | 231 | 97 | 328 | | Independent | 292 | 147 | 439 | | **Total** | 668 | 386 | 1054 | ### Questions and Solutions **a. Probability of an Independent who said "Yes"** - Calculation: \(\frac{292}{1054} \approx 27.7\%\) **b. Probability of a Republican who said "No"** - Calculation: \(\frac{142}{1054} \approx 13.5\%\) **c. Are the events "Yes" and "Democrat" mutually exclusive?** - Correct Answer: **C. "Yes" and "Democrat" are not mutually exclusive because a voter can vote "Yes" and be a "Democrat."** **d. Are the events "Yes" and "No" mutually exclusive?** - Correct Answer: **B. "Yes" and "No" are mutually exclusive because if a voter votes "Yes," they cannot also vote "No."** **e. Are the events "Yes" and "No" complementary for this data set?** - Correct Answer: **D. "Yes" and "No" are not complementary because 1 - P(Yes) ≠ P(No).** This analysis examines the probabilities within different voter categories and explores concepts of mutually exclusive and complementary events in probability.
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