# Question

The moment generating function of X is given by MX(t) = exp{2et − 2} and that of Y by MY(t) = (3/4et + 1/4)10. If X and Y are independent, what are

(a) P{X + Y = 2}?

(b) P{XY = 0}?

(c) E[XY]?

(a) P{X + Y = 2}?

(b) P{XY = 0}?

(c) E[XY]?

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