Question: 2. The moment generating function (MGF) E(e(X-)) of a random variable X, where > 0 is a constant, and X is a normally distributed

2. The moment generating function (MGF) E(e(X-)) of a random variable X, where > 0 is a constant, and X is a normally distributed random variable with mean and variance is ox(0) = e. Using this function show that E[(X )4] = 30. - (Hint: differentiate the MGF 4 times with respect to q and set 0 = 0. Note the mean of X- = 0).

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