Let X₁,..., Xn,... (a) Prove that SA (X) = (X₂)² is consistent for . (b) Prove that dB(X) = (X₂)² - 02/n is consistent for p. ~ iid N(0, 2), where o2 is known. We wish to estimate = 0².

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A: Given that Differentiate with respect to t           Therefore