8. Let X be a continuous random variable with mgf given by It< 1 M(t)E(eX) 1...

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8. Let X be a continuous random variable with mgf given by It< 1 M(t)E(eX) 1 - t2 (a) Determine the expected value of X and t (b) Let X1, X2, ... be a sequence of iid random variables with the same distribution as X. Let Y X and consider what happens

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/ It/RI H)- --2t) 21 1-12)2 2-227,2 (-12) 22 He) 2 -2) -)9 at-Dts E (M 2 0 -0) 2 (x) -0)2 -0)9 80(1-0) 2-O 2 (i)- E) V(Xi) V that rome hawe By CLT We dN(o2) wer

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8. Let X be a continuous random variable with mgf given by It< 1 M(t)E(eX) 1...

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8. Let X be a continuous random variable with mgf given by It< 1 M(t)E(eX) 1...

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