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Competitive Stats
Q26Section I (Objective (Q1–Q80))26 of 79

Distribution Theory — mean via a composed moment generating function

Let U(t)U(t) and V(t)V(t) be the moment-generating functions of two random variables XX and YY respectively, and V(t)=U(log⁡U(t))V(t) = U(\log U(t)). If E(X)=2E(X)=2, then what is the value of E(Y)E(Y)?

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