Please help me answer this question.

1. Find the pmfs corresponding to the following mefs defined for a discrete random variable. Write your solutions in the form p1 y = yl P2 y = y2 p(y) = Pk y = yk 0 otherwise or in the form p(y) = some formula y Ey C 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) = (et + e-t)/2, defined for t E R. 2 MARKS (b) m(t) = 2et, defined for t E R. 2 MARKS (c) Fort ER m(t ) = (1 + 2et) 3 27 2 MARKS (d) FortER m(t) = exp t+ t .+ ti 2 + ... 2 MARKS (e) For parameter p, 0