3. The mef of the Poisson()) distribution takes the form m(t) = exp{X(et -1)} teR. Also, if Y is a random variable with mef my (t), and X = al + b is a transformed version of Y, then the mef for X takes the form mx (t) = ettmy (at). (a) If Y ~ Poisson(A), write down the mef of the random variable Y - A Y X = VA. VA V 1 MARK (b) Find the form of the mef of X as A - 00. 3 MARKS