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Suppose P(X=0)=P(X=1)=1/2

by | Dec 2, 2023 | Posted Questions

Suppose P(X=0)=P(X=1)=1/2 and let Xn=X for n=1,2,3….. ( That is, the random variable Xn are all identical). Let Yn=(X1+X2…….+XN)/n

(b) Prove that there is no number m such that P(lim n –> infinity Yn=m)=1

(c) Why does part b does not contradict law of large numbers?
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