=+24. Suppose X is a random variable satisfying 0 < a X b < .

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=+24. Suppose X is a random variable satisfying 0 < a ≤ X ≤ b < ∞. Use l’Hˆopital’s rule to prove that the weighted mean M(p) = E(Xp)

1 p is continuous at p = 0 if we define M(0) = eE(ln X)

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