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3. Using Höder Inequality to show that (a) Show that if 0 < r' < r and E(|X|") < ∞, then E(|X|"') < ∞. (b) Show that if
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3. Using Höder Inequality to show that (a) Show that if 0 < r' < r and E(|X|") < ∞, then E(|X|"') < ∞. (b) Show that if 0 < r' < r and Xn → X then Xn →r' X. T Hint: Hölder Inequality: From non-negative random variables with finite means, E(X²Y¹-p) ≤ (E(X))²(E(Y))¹—² for p = [0, 1].