Q12: Let X,'s be i.i.d. random variables. Consider the random power series n=0 Is there any deterministic (almost surely) radius of convergence of the above series in the following two cases (a): P(X; = 1) = P(X; = -1) = }, (b): X; ~ N(0, 1)? If so, find the %3D radius.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Q12: Let X,'s be i.i.d. random variables. Consider the random power series
n=0
Is there any deterministic (almost surely) radius of convergence of the above series in the
following two cases (a): P(X; = 1) = P(X; = -1) = }, (b): X; ~ N(0, 1)? If so, find the
%3D
radius.
Transcribed Image Text:Q12: Let X,'s be i.i.d. random variables. Consider the random power series n=0 Is there any deterministic (almost surely) radius of convergence of the above series in the following two cases (a): P(X; = 1) = P(X; = -1) = }, (b): X; ~ N(0, 1)? If so, find the %3D radius.
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