Name: SID: 3. What is the distribution of Y = aX if X ~ Exp(A), 1 for positive constants a and A? 4. When a random variable X has PDF 1 fx(x): -1 = ()a -xa-le-$I(0,oo)(z). where (a) = xa-le- dx denotes the gamma function, a > 0, and > 0, we say that X has a Gamma distribution with parameters a and .2 If X has this distribution, what is E(X)? 1 recall that, for