Let X be a discrete random variable with moment generating function Mx(t) = ¹⁄e ¹ + e-³t+1e³t (a) Find E[X]. (b) Find Var[X]. = (c) Find the moment generating function My(t) of Y = 3X + 5 for t 2.

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Q: (b) Verify mean value theorem for f(x)=x² - 5x+6 over the interval [1,3].

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A: