switch+bjt+circuit
1) With R3, Base current is lower because the total current through R1 now needs to travel through both R3 and the BE junction of the BJT.
2) Sometimes when you design a PCB, you will have some problems with voltage levels - often unexpectedly.
Say for instance you have a switching device such as a DC
C regulator nearby your example transistor circuit. Such a device emits disruption onto the pcb (caused by high current switching). This coupled with high impedance terminations to transistor circuits like your example can often cause problems, as voltage can often appear across the high impedance terminations, causing transistors to turn on. Without R3 noise current through R1 can only make it to GND through the transistors base. This current can turn on the transistor
By putting R3 on the circuit you can have more control over the transistor. Sure it will work without it. But on all of my designs I have learned to put one there, its good practice. The PCB environment is much more complex than a simulator.
3) As i have explained in (1) R3 changes the base current, hence turn on characteristics.
4) I am not entirely sure, however, my guess would be a 50-50 configuration would be the most appealing combination for a range of designs. Hence its configuration popularity.
Hope this helps.
Regards,
oddbudman