Probability and central limit theorem

by Muneeb Wani   Last Updated May 07, 2017 07:19 AM

If X1,X2,.....are independent random variables with Xn being uniformly distributed between n and 3n, n=1,2,3... Then what is the distribution function F of
N^(-1/2)*Sum (Xn)/n , where sum is over n=1,2,......N and N=1,2,.....

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