a)Give the law of X whose fgm is M_X(t) = e^6t2 Write the density explicitly

b)Deduce the moment of order 2 and its variance

c)Give P(Y 2) knowing that the fgm is M_Y (t) = (0.3e^t)/(1-0.7e^t) d) Deduce the mean of Y

When formulating your answers, please recite the theorems used explicitly and give details of all explicitly and give details of all algebraic steps