The random variable X has mass function 4 4: 5 12 p(x) = Provide your answers to two decimal places. (a) Find the moment generating function of X and evaluate it at the point t=3. (c) Use the m.g.f. to find the second moment of X. x=0 x = 1 x = 2 (b) Find the second derivative of the moment generating function and evaluate it at the point t=3.

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