Question

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

Answer 1

The correct Answer is : 9 -9(Approx.)