Question: Let Yl and Y2 be independent normal random variables with respective means 20 and 30, and respective variances 16 and 25. Use the moment

Let Yl and Y2 be independent normal random variables with respective means

Let Yl and Y2 be independent normal random variables with respective means 20 and 30, and respective variances 16 and 25. Use the moment generating function to find the density function for (a) U = 3Yi -F 10 and (b) W + 3Y2. Ans. (a) ft; (u) = , 00 < u < (b) fur (w) I o, --00 < W < OO

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