5-55. Suppose that (X,Y) is a bivariate random variable and that X and Y are independent continuous...

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5-55. Suppose that (X,Y) is a bivariate random variable and that X and Y are independent continuous random variables with moment-generating functions mX(t) and mY(t), respectively. Verify that for real numbers

a, b, and

c, maX+bY+c(t) = ectmX(at) · mY(bt).

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