Answer to Question #42453 in Statistics and Probability for Azra

Question

Consider a random variable X such that P(x=1)=1/4 and P(x=0)=3/4. E(x)=1/4 and standard deviation is sqrt(3)/4. If X1, X2,..., Xn is a random sample of the population X, then lim n -> infinity of P(X1+X2+...+Xn/n > C) = 0 for every C>1/4.