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Q45Section C (Section C)45 of 60

A linear combination of binomial mean and variance

Let XX be a random variable with the moment generating function M(t)=(1+3et)216,−∞<t<∞.M(t)=\frac{(1+3e^t)^2}{16},\quad -\infty<t<\infty. Let α=E(X)−Var(X)\alpha=E(X)-\mathrm{Var}(X). Then the value of 8α8\alpha is equal to __________ (answer in integer)

Numerical answer: type the number (no options).

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