The MPC Studio was designed to work specifically with the MPC Software. It is not a generic MIDI controller that can be reassigned to work with Ableton. If you are looking for a device to customize for control of your DAW then I recommend using the APC series. These controllers are specially designed for triggering clips, scenes and transport functions in Ableton.
You can still use the MPC Studio with Ableton via the MPC plugin. This guide will cover the entire setup process: