Let X be a r.v. with continuous d.f. FX, and define the r.v. Y as follows: Y = X
If X ( C, and Y = C if X > C, where C is a constant. Then
(i) Determine the d.f. of the r.v. Y, FY.
(ii) Show that FY = F1 + F2, where F1 is a continuous d.f. and F2 is a step function?