Consider X Gamma(a, p). (a) (5 pts) Find My(1), the mgf of X. For what values of 1 is it defined? (b) (5 pts) Use the moment-generating function to compute E(X). (c) (5 pts) Use the moment-generating function to compute var(X). (d) (5 pts) If c> 0, what is the distribution of Y = cX?