a) In each of the following cases, the moment-generating function of a random variable, Y, is given. Determine the distribution of Y (i.e state the type of distribution and the value(s) of any parameter(s) of the distribution).

(i) m(t) = ((e^t+3)/(4) )^7

(ii) m(t)=e^t/(3-2e^t)

(b) A random variable has moment-generating function m(t) = 1 /(1 2t)^3 Determine the first two moments, '=E[Y] and ₂'=E[Y^2] of Y