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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 Pollsters Problem : fraction of population that do . : fraction of Yes in our sample. person polled: Suppose we want: Event of interest: The Pollsters Problem we want: From Table: Compare to that we derived using Chebychevs inequality Usefulness of the CLT Only means and variances matter. Much more accurate than Chebyshevs 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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This note was uploaded on 12/08/2010 for the course MATH 6.041 / 6. taught by Professor Muntherdahleh during the Spring '10 term at MIT.
 Spring '10
 MuntherDahleh
 Systems Analysis, Central Limit Theorem, Probability, Variance

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