Question: Let X be a random variable with the moment generating function M(t)= e 2t+8t^2 : Find E(X) and E(X 2 ) by using each of

Let X be a random variable with the moment generating function M(t)= e2t+8t^2 : Find E(X) and E(X2 ) by using each of the following methods:

a)By identifying the distribution and using its known expected value and variance.

b)By differentiating the moment generating function

c)By writing down the series expansion for the function M(t)

Please do a, b and c

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