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need proof with proper calculation, correct proof will get ups Let X1,X2, be independent random variables. Suppose that j=1n(XjEXj)/ndN(0,1), where n2=Var(j=1nXj). Show that n1j=1n(XjEXj)p0 il and only if nlimn/n=0..

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need proof with proper calculation, correct proof will get ups Let X1,X2, be independent random variables. Suppose that j=1n(XjEXj)/ndN(0,1), where n2=Var(j=1nXj). Show that n1j=1n(XjEXj)p0 il and only if nlimn/n=0.

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