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Q20Section A (Section A)20 of 60

Variance from a Poisson MGF

Let XX be a random variable having the moment generating function MX(t)=e2(et−1)M_{X}(t)=e^{2(e^{t}-1)}, t∈Rt\in\mathbb{R}. Then, Var⁡(2X+3)\operatorname{Var}(2X+3) equals

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