Distributionshard
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Consider a sequence of i.i.d. random variables XiBernoulli(p)X_i \sim \text{Bernoulli}(p). Let Yn=i=1nXiY_n = \sum_{i=1}^n X_i. For a fixed nn and large pp, which distribution serves as the best approximation for the distribution of YnY_n if we center and scale it appropriately?