(12) If E(X*) is finite with E(X) = µ and Var(X) = oʻ then prove that E((X – µ)*) > o4. (a) Using the convex function f(t) = t*, by Jensen's inequality applied to Ef((X – µ)), we get the result. , by Jensen's incquality applied to Ef ((X - µ)²), we get the result. , by Jensen's inequality applied to Ef ((X - µ)²). (b) Using the convex function f(t) = t² (c) Using the convex function f(t) = t4 , we get the result. (d) Using the convex function f (t) = t², by Jensen's incquality applied to Ef ((X – µ)), (e) The result follows by Chebyshev's inequality. we get the result. The correct answer is (a) (b) (c) (d) (e) N/A (Select One)

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