(27 points) A continuous random variable, which also has two discrete components, has the pdf: 1 fX(-'l7) = g _z 1 1 e u(a:) + 61 + 663,34 where u(x) is the Heaviside step function and (5x and 524 are Kronecker delta function, which evaluates to 1 at a value of :1: = 0 and x = 1 respectively and are 0 otherwise