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2. (6 points) Suppose G : R - 0, 1] is a CDF. Prove that for all sequences of i.i.d. random variables X1, X2. ...

2. (6 points) Suppose G : R - 0, 1] is a CDF. Prove that for all sequences of i.i.d. random variables X1, X2. ... . sup G(r + Xt) - EG(a + X1) -+0 a.s. 1=1

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