Let X denote a Gaussian random variable with a mean equal to zero and a varianceequal to o?. Show that0,E[X"]=n = 2k + 11x3x5х× (n – 1)o",2kп —(Hint: Differentiate the identity e 202 dx = 0.5/2no?, k times.)

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Description: Let X denote a Gaussian random variable with a mean equal to zero and a varianceequal to o?. Show that0,E[X"]=n = 2k + 11x3x5х× (n – 1)o",2kп —(Hint: Differentiate the identity e 202 dx = 0.5/2no?, k times.)

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Let X denote a Gaussian random variable with a mean equal to zero and a varia equal to o?. Show that 0, E[X"] = = 2k +1 n = 1x3x5х ...x (n – 1)o", 2k n = (Hint: Differentiate the identity Se¯ 202 dx = 0.5/2no?, k times.)

Let X denote a Gaussian random variable with a mean equal to zero and a varia equal to o?. Show that 0, E[X"] = = 2k +1 n = 1x3x5х ...x (n – 1)o", 2k n = (Hint: Differentiate the identity Se¯ 202 dx = 0.5/2no?, k times.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.1: Measures Of Center

Problem 9PPS

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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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Let X denote a Gaussian random variable with a mean equal to zero and a variance
equal to o?. Show that
0,
E[X"]=
n = 2k + 1
1x3x5х
× (n – 1)o",
2k
п —
(Hint: Differentiate the identity e 202 dx = 0.5/2no?, k times.)

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