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A coin is equally likely to be either B1/3 or B2/3. To figure out the bias, we toss the coin 99 times and declare B1/3 if the number of heads is less than 49.5 and B2/3 otherwise. Bound the error probability using the Chernoff bound derived in lecture video (in its final form, after simplifcation).

A coin is equally likely to be either B1/3 or B2/3. To figure out the bias, we toss the coin 99 times and declare B1/3 if the number of heads is less than 49.5 and B2/3 otherwise. Bound the error probability using the Chernoff bound derived in lecture video (in its final form, after simplifcation).

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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A coin is equally likely to be either B1/3 or B2/3. To figure out the bias, we toss the coin 99 times and declare B1/3 if the number of heads is less than 49.5 and B2/3 otherwise. Bound the error probability using the Chernoff bound derived in lecture video (in its final form, after simplifcation).
Transcribed Image Text:A coin is equally likely to be either B1/3 or B2/3. To figure out the bias, we toss the coin 99 times and declare B1/3 if the number of heads is less than 49.5 and B2/3 otherwise. Bound the error probability using the Chernoff bound derived in lecture video (in its final form, after simplifcation).
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