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2. Suppose {Xn}n>1 is an i.i.d. sequence of random variables with zero mean and unit variance. Define n Yn In Exi Does Yn converge in

2. Suppose {Xn}n>1 is an i.i.d. sequence of random variables with zero mean and unit variance. Define n Yn In Exi Does Yn converge in probability or in distribution to a constant? What is the long-run behavior of this sequence

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