Let X1, X2,... be independent. In which of the following situations does (X) satisfy the Lindeberg condition? a) P{X = k} = P{X = −k} = 1/2. b) P{Xk = 2k/2} = P{Xk = -2k/2} = 1/2. c) P{Xk = k} = P{Xk = -k} = 1/2k and P{Xk=0} = 1-1/k.
Let X1, X2,... be independent. In which of the following situations does (X) satisfy the Lindeberg condition? a) P{X = k} = P{X = −k} = 1/2. b) P{Xk = 2k/2} = P{Xk = -2k/2} = 1/2. c) P{Xk = k} = P{Xk = -k} = 1/2k and P{Xk=0} = 1-1/k.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Transcribed Image Text:Let X1, X2,... be independent. In which of the following situations
does (Xk) satisfy the Lindeberg condition?
a) P{Xk = k} = P{Xx = -k} = 1/2.
b) P{X = 2k/2} P{X = -2*/2} = 1/2.
c) P{X = k} = P{X = -k} = 1/2k and P{Xk = 0} = 1- 1/k.
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