Theorem 26 (Theorem of de Moivre - Laplace) Let X1, X2, ... be independent random variables with Bernoulli(p)distribution. LetnSnΣΧ.i=1ThenSn- np< aVnp(1 – p)lim P= (a),for every a ER.51In particular, when n is large (as a rule of thumb, when n > 30), then the cdf of the rescaled binomial random variableSn is approximately equal to the cdf of a standard-normal random variable Z ~ N (0, 1), i.e.Sn - np Let XnExp(4), n > 1, be independent random variables. Estimate the probability thatPS100 2100

Name: Theorem 26 (Theorem of de Moivre - Laplace) Let X1, X2, ... be indepe
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Description: Theorem 26 (Theorem of de Moivre - Laplace) Let X1, X2, ... be independent random variables with Bernoulli(p)distribution. LetnSnΣΧ.i=1ThenSn- np 30

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Answered: Let Xn Exp(4), n > 1, be independent…

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Probability

Let Xn Exp(4), n > 1, be independent random variables. Estimate the probability that 1 S100 2

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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