題組內容

The random variables X and Y have the joint probability density func- tion 6285d74652e67.jpg
 where -∞ ＜ x ＜∞ and -∞＜ y ＜ ∞.

(d) (8%) Let Z = 3X + 2Y. Derive the moment generating function 6285d7cfa7c2e.jpg. You have to give the derivation, not just the an- swer.