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).

Updated On: Oct 1, 2024
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Correct Answer: 9

Solution and Explanation

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