Given the probability density function f(x) = 2x, 0

Given the probability density function f(x) = 2x, O < x < 1 above is the probability density function of the randomized variable A) Solve for the moment generating function of X. B) Using the answer from part A), Solve 'for the variance and mean of C) We believe that Z = cX/2, where the variable c is constant, Doing the same! ing you did in Part A, Find the moment generating function ofZ,