Let {Xn} be a sequence of random variables such that the following limits (in the regular point-wisesense) hold:andlim E[X₂] = c for some constant c,n→∞lim Var[X₂] = 0.n→∞Show that Xn converges to c in the mean-square sense, that is,lim E[(Xn-c)²] = 0.n→∞Hint: write E[(Xn – c)²] in a way that it involves Var[X₂].

Given that, Xn is a sequence of random variables. limn→∞EXn=c; for some constant c. limn→∞VarXn=0…

Answered: Let {Xn} be a sequence of random…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.2: Graphs Of Equations

Problem 78E

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