Let the sequence of n random variables {X₁, X2,..., Xn}, independently obtained from some probability density function px (x). If E[X₂] = μ and Var(X₂) = o² are finite then, as n increases to infinity, according to the Central Limit Theorem the random variable S = √4n(Xn-μ) approaches which distribution? Justify its type (name), and hence compute its mean and variance.

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