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1. Let X1, X2, ..., An iid ~Bernoulli(1/2). For n = 1, 2, ..., define Yn = En 1 Xi/2. (a) Find the pdf/pmf for

1. Let X1, X2, ..., An iid ~Bernoulli(1/2). For n = 1, 2, ..., define Yn = En 1 Xi/2. (a) Find the pdf/pmf for Yn. (b) Investigate the convergence in distribution of Yn

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