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1. [Asympotics] Suppose X ~ N(0, 1) (standard normal). (a) What is the distribution of X2? (b) Suppose Plim(Xn - X) = 0. What is

1. [Asympotics] Suppose X ~ N(0, 1) (standard normal). (a) What is the distribution of X2? (b) Suppose Plim(Xn - X) = 0. What is the asymptotic distribution of Xn? (c) Suppose Yn = X2. What is the asymptotic distribution of Yn

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