he propability that a randomly selected voter... a. ... voted for Lopez OR voted in favor of Proposition Q.  b. ... voted for Lopez, given that they voted in favor of Proposition Q. c. ... didn't vote for Lopez nor did they vot

Forty-eight percent of all California registered voters prefer life in prison without parole over the death penalty for a person convicted of first-degree murder. Among Latino California registered voters, 55% prefer life in prison without parole over the death penalty for a person convicted of first-degree murder. 37.6% of all Californians are Latino.In this problem, let: • C = Californians (registered voters) preferring life in prison without parole over the death penalty for a person convicted of first-degree murder.• L = Latino Californians 9. In words, what is L OR C?10. Are L and C mutually exclusive events? Show why or why not.

2. A new location for a park in a small city outside of Bucklin, Colorado, is going to be built. The citizens get to vote on 1 of 4 locations: • Century, • Midland, • Uber, • Southern. The voting population is 6800 citizens. Votes 1st 2nd 3rd 4th 2150 Century Midland Southern Uber 1150 Midland Uber Southern Century 1100 Uber Southern Midland Century 1600 Southern Century Uber Midland a. The location that has the most first place votes is b. The location that has the fewest first place votes is c. The location we eliminate is d. Fill in the new table. Votes 1st 2nd 3rd 4th 2150 1150 1100 1600 e. Is there a majority of votes for a location now? Yes or no? f. Which location if any should get eliminated now? g. Fill in the new table. Votes 1st 2nd 3rd 2150 1150 1100 1600 h. Is there a majority of votes for a location now? If yes, what is that location, and how many the first place votes does that location have? i. What location won the plurality vote or single location voting method?…

A Field Poll Survey reported that 62% of registered voters in a state approved of allowing two people of the same gender to marry and have regular marriage laws apply to them. Among 18 to 39 year olds (registered voters in this state), the approval rating was 72%. Seven in ten registered voters in this state said that the upcoming Supreme Court's ruling about the constitutionality of a proposition was either very or somewhat important to them. Out of those registered voters who support same-sex marriage, 71% say the ruling is important to them. In this problem, let the following apply. • C = registered voters who support same-sex marriage • B = registered voters who say the Supreme Court's ruling about the constitutionality of the proposition is very or somewhat important to them • A = registered voters who are 18 to 39 years old. Find P(C). (Enter your answer to two decimal places.)P(C) = Find P(B). (Enter your answer to two decimal places.)P(B) = Find P(C|A). (Enter your…

6) Sharron is running for Senate. She can either campaign for universal health care or for lower taxes. She would personally prefer campaigning on universal health care, and would get 50 utility for campaigning on health care and 0 utility for campaigning on taxes. However, she also wants to win the election. She gets 100 utility for winning and 0 for losing. She believes she has a 50% chance of winning if she campaigns on health care. She believes she has an 80% chance of winning if she campaigns on lower taxes. What is her expected utility of campaigning on health care? What is her expected utility of campaigning on lower taxes? Which should she choose?

On February 28, 2013, a Field Poll Survey reported that 61% of California registered voters approved of allowing two people of the same gender to marry and have regular marriage laws apply to them. Among 18 to 39 year olds (California registered voters), the approval rating was 78%. Six in ten California registered voters said that the upcoming Supreme Court’s ruling about the constitutionality of California’s Proposition 8 was either very or somewhat important to them. Out of those CA registered voters who support same-sex marriage, 75% say the ruling is important to them.In this problem, let:C = California registered voters who support same-sex marriage.B = California registered voters who say the Supreme Court’s ruling about the constitutionality of California’s Proposition 8 is very or somewhat important to themA = California registered voters who are 18 to 39 years old.Find P(C).Find P(B).Find P(C|A).Find P(B|C).In words, what is C|A?In words, what is B|C?Find P(C AND B).In words,…

High School Band - In most US high schools, students can play an instrument in three types of bands. A random sample of high school band students was taken and the results are summarized in the table below. Instrument type Band Woodwind Brass Percussion type Concert 31 25 8. Jazz 10 16 10 Marching 65 65 27 To assess whether there is a relationship between band type and instrument type, we want to conduct an appropriate hypothesis test. Choose the null and alternative hypothesis? 1. The categorical variables band type and instrument type are independent. Alternative hypothesis 2. The categorical variables band type and instrument type are not independent. Null hypothesis

2. A survey on a sample of 35 new cars being sold at a local auto dealer was conducted to see which of three popular options: Air-conditioning (A), Bluetooth (B), and Rear Camera (C), were already installed. The survey found: 18 had A, 13 had B, 12 had C, 5 had A and B, 8 had A and C, 6 had B and C, 4 had all three options. Find the number of cars that had (a) A and B but not C, (b) A and C but not B, (c) B and C but not A; (d) only one of the options; (e) at least one option; (f) exactly two options; (g) none of the options.

Give an example that illustrates why ​top-two IRV violates the Condorcet criterion.     A. A candidate that beats all other candidates​ head-to-head but is not one of the top two candidates is eliminated in the first round of​ top-two IRV, but wins under the Condorcet criterion.   B. A candidate that has the most​ first-place votes and​ last-place votes is eliminated in the first round of​ top-two IRV, but wins under the Condorcet criterion.   C. A candidate that has the most​ first-place votes, but is not one of the top two candidates is eliminated in the first round of​ top-two IRV, but wins under the Condorcet criterion.   D. A candidate that beats all other candidates​ head-to-head and is one of the top two candidates is eliminated in the first round of​ top-two IRV, but wins under the Condorcet criterion.

A Field Poll Survey reported that 57% of registered voters in a state approved of allowing two people of the same gender to marry and have regular marriage laws apply to them. Among 18 to 39 year olds (registered voters in this state), the approval rating was 73%. Seven in ten registered voters in this state said that the upcoming Supreme Court's ruling about the constitutionality of a proposition was either very or somewhat important to them. Out of those registered voters who support same-sex marriage, 75% say the ruling is important to them. In this problem, let the following apply. •C = registered voters who support same-sex marriage •B = registered voters who say the Supreme Court's ruling about the constitutionality of the proposition is very or somewhat important to them •A = registered voters who are 18 to 39 years old. O Part (a) O Part (b) O Part (c) O Part (d) O Part (e) O Part (f) In words, what is BỊC? O Registered voters from the group of people who support same-sex…