Show that the central limit theorem holds good for the sequence {X;}, if 1 P{X, =± k"} = xk2a, P{X, = 0} = 1- k20, a < ! xk20, P{X = 0} = 1 – k2", %3D 2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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Show that the central limit theorem holds good for the sequence {X4}, if
1
= x k2ª, P(X, = 0} = 1 - k2", a < !
-2a
-2a
P{X, = ± kª} :
%3|
%3D
2
Transcribed Image Text:Show that the central limit theorem holds good for the sequence {X4}, if 1 = x k2ª, P(X, = 0} = 1 - k2", a < ! -2a -2a P{X, = ± kª} : %3| %3D 2
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