The probability that a person votes for candidate A is 20%. You need to find 5...
The probability that a person votes for candidate A is 20%. You need to find 5 people who have vored for candidate A. What is the probability that you will find these 5 people if you ask 15 voters?
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The probability that a person votes for candidate A is 20%. You
need to find 5...
In a large population 40% votes for candidate A and 60% for candidate B. Suppose we...
In a large population 40% votes for candidate A and 60% for candidate B. Suppose we select at random 10 people. What is the probability that in this group exactly 4 people will vote for A?
2. Candidate H and Candidate T are both running for the same student council position. A...
2. Candidate H and Candidate T are both running for the same student council position. A total of 45 people vote, but each votes by flipping their own fair coin - if their coin comes up heads then a person votes for H, and if their coin comes up tails then a person votes for T. What is the probability that candidate H wins by just one vote; that is there are 23 votes for H and 22 votes for...
2. Candidate H and Candidate T are both running for the same student council position. A...
2. Candidate H and Candidate T are both running for the same student council position. A total of 45 people vote, but each votes by flipping their own fair coin - if their coin comes up heads then a person votes for H, and if their coin comes up tails then a person votes for T. What is the probability that candidate H wins by just one vote; that is there are 23 votes for H and 22 votes for...
There are N voters. There are 4 candidates. If we were to ask each of the...
There are N voters. There are 4 candidates. If we were to ask each of the N voters, we would learn that 30% would vote for candidate A 25% would vote for candidate B 25% would vote for candidate C 20% would vote for candidate D Since it is unrealistic to ask the whole population, we randomly sample a subset n. Let Yi be the response from the i th sampled voter. Let yi denote the outcome of Yi. yi...
Suppose also that the probability that a judge votes a guilty person innocent is 0.2, whereas...
Suppose also that the probability that a judge votes a guilty person innocent is 0.2, whereas the probability that the judge votes an innocent person guilty is 0.1.There are three judges who vote independently and correctly with probability p (either if the person is guilty or innocent). The decision is based on the majority of the judges. How large must p be so that correct decisions ( if 65 percent of the defendants are guilty) are made more frequently?
Suppose that 60 percent of voters in a particlular region support a candidate. Find the probability...
Suppose that 60 percent of voters in a particlular region support a candidate. Find the probability that a sample of 1,000 voters would yield a sample proportion in favor of the candidate within 3 percentage points of the actual proportion.
You are tallying votes from an election in which n people voted. If any candidate gets...
You are tallying votes from an election in which n people voted. If any candidate gets more than half (at least ⌊n/2⌋ + 1 votes), they win. Otherwise a runoff election is needed. For privacy reasons you are not allowed to look at any one ballot, but you have a machine that can take any two ballots and answer the question: “are these two ballots for the same candidate, or no?” (a) Design and analyze a divide and conquer algorithm...
There are 5 candidates running for student body president. There are 338 people who vote. Use the Pigeonhole Principle to determine the least number of votes a candidate could get while still winning the election?
There are 5 candidates running for student body president. There are 338 people who vote. Use the Pigeonhole Principle to determine the least number of votes a candidate could get while still winning the election?
In a past presidential election, 39,885,048. people voted for Candidate A; 39,660,675 Candidate B; and 193,670...
In a past presidential election, 39,885,048. people voted for Candidate A; 39,660,675 Candidate B; and 193,670 for third-party candidates. a. What percentage of voters chose Candidate A? Find the % of voters who chose Candidate A Answer _____% b. Would it be appropriate to find a confidence interval of voters choosing Candidate A? (Answer is A,B,C or D) A.Yes, it is appropriate to find a confidence interval because the proportion is a sample proportion and the conditions for the Central...
Suppose it is reported that 60 % will vote for candidate A. You think this %...
Suppose it is reported that 60 % will vote for candidate A. You think this % is different in your neighborhood, so you decide to randomly sample 121 people and ask them if they will vote for candidate A. Is the sample size large enough ? μ ˆ p = σ ˆ p = Suppose we find from our sample that 119 will vote for candidate A. Give ˆ p What is the probability that at least 119 people will...
In a large population 40% votes for candidate A and 60% for candidate B. Suppose we select at random 10 people. What is the probability that in this group exactly 4 people will vote for A?
2. Candidate H and Candidate T are both running for the same student council position. A total of 45 people vote, but each votes by flipping their own fair coin - if their coin comes up heads then a person votes for H, and if their coin comes up tails then a person votes for T. What is the probability that candidate H wins by just one vote; that is there are 23 votes for H and 22 votes for...
2. Candidate H and Candidate T are both running for the same student council position. A total of 45 people vote, but each votes by flipping their own fair coin - if their coin comes up heads then a person votes for H, and if their coin comes up tails then a person votes for T. What is the probability that candidate H wins by just one vote; that is there are 23 votes for H and 22 votes for...
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