Find the m.g.f. of a r.v. assuming values 1 and 1 with equal probabilities, and the m.g.f.

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Find the m.g.f. of a r.v. assuming values −1 and 1 with equal probabilities, and the m.g.f. of a r.v. uniform on [−1,1]. Graph both m.g.f.’s in one picture and comment in the terms of moments why the derivatives at the point zero are the same, and why the first function is steeper.

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