Probability hw v1 type 1

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University of Illinois, Chicago *

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270

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Economics

Date

Feb 20, 2024

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pdf

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Question 1 10 out of 10 points [The numbers in this problem are hypothetical] Suppose that 48% of American voters are Republicans. Among Republicans, the percent that support President Trump is 85%. Among Democrats, the percent that support President Trump is 20%. Note: for purposes of this problem, everyone is either a Democrat or a Republican. Also, below, Support is short for supporting President Trump. 1. The Prob(Support|Republican) Selected Answer: 85% Answers: 48% 85% 20% Question 2 10 out of 10 points The Prob(Support|Democrat) Selected Answer: 20% Answers: 48% 85% 20% Question 3 10 out of 10 points The Prob(Republican) Selected Answer: 48% Answers: 48% 85% 20% Question 4 10 out of 10 points Out of 1,000,000 voters, how many are Republicans? Selected Answer: This study source was downloaded by 100000864982698 from CourseHero.com on 02-14-2024 19:48:15 GMT -06:00 https://www.coursehero.com/file/78916569/Conditional-Probability-Problem-Type-1-V1pdf/
480,000 Answers: 480,000 520,000 85,000 Question 5 10 out of 10 points Out of 1,000,000 voters, how many are Democrats? Selected Answer: 520,000 Answers: 480,000 520,000 85,000 Question 6 10 out of 10 points Out of 480,000 Republicans, how many support President Trump? Selected Answer: 408,000 Answers: 408,000 96,000 442,000 20% Question 7 10 out of 10 points Out of 520,000 Democrats, how many support President Trump? Selected Answer: 104,000 Answers: 408,000 96,000 104,000 20% Question 8 10 out of 10 points This study source was downloaded by 100000864982698 from CourseHero.com on 02-14-2024 19:48:15 GMT -06:00 https://www.coursehero.com/file/78916569/Conditional-Probability-Problem-Type-1-V1pdf/
What is the probability that any one voter is a Trump supporter? Selected Answer: (104,000+408,000)/1,000,000=51.2% Answers: (104,000+408,000)/1,000,000=51.2% (96,000+1,000,000)/442,000=248% Question 9 10 out of 10 points If a voter is a Trump supporter, what is the probability that she is a democrat? Selected Answer: 104,000/(104,000+408,000)=20.3% Answers: 104,000/(104,000+408,000)=20.3% 408,000/(96,000+442,000)=82.2% Question 10 10 out of 10 points What is the notation for the answer to the question above? Selected Answer: Pr(Democrat|Support) Answers: Pr(Support|Democrat) Pr(Democrat|Support) Pr(Democrat| not Support) Pr(Support| not Democrat) This study source was downloaded by 100000864982698 from CourseHero.com on 02-14-2024 19:48:15 GMT -06:00 https://www.coursehero.com/file/78916569/Conditional-Probability-Problem-Type-1-V1pdf/ Powered by TCPDF (www.tcpdf.org)
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