Let Y1 and Y2 be independent random variables with moment-generating functions mY1 (t)

Chapter 6, Problem 6.38

(choose chapter or problem)

Let Y1 and Y2 be independent random variables with moment-generating functions mY1 (t) and mY2 (t), respectively. If a1 and a2 are constants, and U = a1Y1 + a2Y2 show that the moment-generating function for U is mU (t) = mY1 (a1t) mY2 (a2t).

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