A potential solution to this is the following: when asking whether they support or do not support a given candidate, give the people you are polling the following instructions: flip a fair coin privately, and if it comes up HEADS, answer honestly; if it comes up TAILS, flip another fair coin and if it comes up HEADS, answer 'support', if it comes up TAILS, answer do not 'support'. In this case, the person being polled can always claim that whatever they answered was the result of the coin - in a sense, the results are anonymized and the people being polled are protected. Let p be the probability that a randomly polled person using this method says 'support'; let q be the true probability a random person actually supports the candidate. We would like to know the value of q, but we can only estimate the value of p: let p, be the fraction of N people who answer 'support' using this method. We have that E[PN] = P, as before. 7) What is the relationship between q and p?
A potential solution to this is the following: when asking whether they support or do not support a given candidate, give the people you are polling the following instructions: flip a fair coin privately, and if it comes up HEADS, answer honestly; if it comes up TAILS, flip another fair coin and if it comes up HEADS, answer 'support', if it comes up TAILS, answer do not 'support'. In this case, the person being polled can always claim that whatever they answered was the result of the coin - in a sense, the results are anonymized and the people being polled are protected. Let p be the probability that a randomly polled person using this method says 'support'; let q be the true probability a random person actually supports the candidate. We would like to know the value of q, but we can only estimate the value of p: let p, be the fraction of N people who answer 'support' using this method. We have that E[PN] = P, as before. 7) What is the relationship between q and p?
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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