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3. (a) Show how Chebyshev's Inequality P(\X – H| > Cơ)< e follows by Markov's Inequality (which was proved in class). (b) Suppose that we repeatedly flip a fair coin. Using Chebyshev's Inequal- ity, find an upper bound on the number of flips required so that we can be 99% sure that the proportion of Heads will be in the interval [0.49,0.51] (close to 50%).

3. (a) Show how Chebyshev's Inequality P(\X – H| > Cơ)< e follows by Markov's Inequality (which was proved in class). (b) Suppose that we repeatedly flip a fair coin. Using Chebyshev's Inequal- ity, find an upper bound on the number of flips required so that we can be 99% sure that the proportion of Heads will be in the interval [0.49,0.51] (close to 50%).

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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3. (a) Show how Chebyshev's Inequality P(\X – H| > Cơ)< e follows by Markov's Inequality (which was proved in class). (b) Suppose that we repeatedly flip a fair coin. Using Chebyshev's Inequal- ity, find an upper bound on the number of flips required so that we can be 99% sure that the proportion of Heads will be in the interval [0.49,0.51] (close to 50%).
Transcribed Image Text:3. (a) Show how Chebyshev's Inequality P(\X – H| > Cơ)< e follows by Markov's Inequality (which was proved in class). (b) Suppose that we repeatedly flip a fair coin. Using Chebyshev's Inequal- ity, find an upper bound on the number of flips required so that we can be 99% sure that the proportion of Heads will be in the interval [0.49,0.51] (close to 50%).
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