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Let {Xn​Yn=1∞​ te a sequence of independent zandom vatiables such that X1​=0 and for any n>2P(Xn​=n)=2nlog(n)1​, P(Xn​=−

Posted: Wed Jul 13, 2022 5:08 am
by answerhappygod
Let Xn Yn 1 Te A Sequence Of Independent Zandom Vatiables Such That X1 0 And For Any N 2p Xn N 2nlog N 1 P Xn 1
Let Xn Yn 1 Te A Sequence Of Independent Zandom Vatiables Such That X1 0 And For Any N 2p Xn N 2nlog N 1 P Xn 1 (42.27 KiB) Viewed 15 times
please sovle it step by step with neat handwriting, thanks
Let {Xn​Yn=1∞​ te a sequence of independent zandom vatiables such that X1​=0 and for any n>2P(Xn​=n)=2nlog(n)1​, P(Xn​=−n)=2nlog(n)1​,P(Xn​=0)=1−nlog(n)1​,letSn​=n1​(Xn​+X2​+⋯+Xn​) 2. Caloulate P(n→∞lim​Sn​=0)