1. Find the pmfs corresponding to the following mefs defined for a discrete random variable. Write your solutions in the form P1 y = y1 P2 V = 12 p(y) = PK y = yK 0 otherwise or in the form some formula y ey otherwise for a set ) to be identified, or identify the distribution by name with any parameters identified. If the function is NOT the mef of a discrete pmf, state this and explain why. (a) m(t) = (e' + e-*)/2, defined for te IR. 2 MARKS (b) m(t) = 2e', defined for t e R. 2 MARKS (c) Fort ER m(t) = (1+2et)3 27 2 MARKS (d) FortER m(t) = expat+ 12 2 j! + ... 2 MARKS (e) For parameter p, 0