Voltage regulator transistor circuit analysis (question about the emitter current)
Ie is the load current.  The load current is Out/RL.  Is that really your question?

As RoyC said it is not generally worth going to this level of calculation.  You need to accommodate the tolerances of components, temperature variations and the input supply.

Some parameters such as hFE can vary over a wide range (3:1) so you have to be conservative and take worst case values to ensure it will work at end of the range. Then you have to make sure that other parameters such as heat dissipation in the components are acceptable at the other end.