2. Let X1, X2..... X, be independent random variables with expectation 0 and finite third moments. Show, with the aid of characteristic functions, that E(X₁ + X₂++X)³ = EX² + EX²++ EX₁₂-

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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2. Let X1, X2..... X, be independent random variables with expectation 0 and
finite third moments. Show, with the aid of characteristic functions, that
E(X₁ + X₂++X)³ = EX² + EX²++ EX₁₂-
Transcribed Image Text:2. Let X1, X2..... X, be independent random variables with expectation 0 and finite third moments. Show, with the aid of characteristic functions, that E(X₁ + X₂++X)³ = EX² + EX²++ EX₁₂-
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