You cannot add CPU-controlled bots to split-screen multiplayer in Call of Duty 4: Modern Warfare on Xbox 360.
The local multiplayer mode is strictly for two human players. There is no option to fill empty slots with AI.
Later CoD titles (e.g., World at War, Modern Warfare 2, Black Ops series) added combat training / bot support in various forms, but CoD4 does not have it.