Problem 4 (12% total; 3% per part) Consider the following discrete function g(x): 4.5x + 18 x = -3,-2 9 g(x) = x= -1,0 == (x-3)² x = 1,2 0 otherwise Given this function, do the following: a) Find Px(x), a valid PMF of X that is derived from g(x) b) Plot Fx(x), the CDF of X c) Determine P(-2.25 <x<2.25) using Px(x) d) Determine P(-2.25 <x<2.25) using Fx(x)