71. The moment generating function of X is given by $$M_x(t) = exp(2e^{t^2} - 2)$$ and that...

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71. The moment generating function of X is given by $$M_x(t) = exp(2e^{t^2} - 2)$$

and that of Y by $$M_y(t)$$. If X and Y are independent, what are

(a) P(X + Y = 2);

(b) P(XY = 0);

(c) E[XY]?

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