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Unformatted text preview: as if normal • Can we use it when is “moderate” ? • Yes, but no nice theorems in this effect • Symmetry helps a lot The Pollster’s Problem • : fraction of population that do “…………”. • : fraction of “Yes” in our sample. • person polled: • Suppose we want: • Event of interest: The Pollster’s Problem • we want: • From Table: • Compare to that we derived using Chebychev’s inequality Usefulness of the CLT • Only means and variances matter. • Much more accurate than Chebyshev’s inequality • Useful computational shortcut, even if we have a formula for the distribution of • Justification of models involving normal r.v.’s – Noise in electrical components – Motion of a particle suspended in a fluid (Brownian motion)...
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 Spring '10
 MuntherDahleh
 Systems Analysis, Central Limit Theorem, Normal Distribution, Probability, Variance, Probability theory, CDF, i.i.d. finite variance

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