Final answer:
When the switch is open, the bulb is on because it can receive power through another path created by the switch itself. When the switch is closed, the bulb turns off because the battery power flows directly to the bulb.
Step-by-step explanation:
When the switch is open in the circuit, the bulb is on and the OFF light on the BATT 1(2) pushbutton would be indicating that the battery is disconnected from the circuit. In this case, the battery power is not flowing through the switch to the bulb. However, the bulb can still receive power through another path created by the switch itself, which allows a small current to flow through it and keep the bulb lit.
On the other hand, when the switch is closed, the bulb turns off and the OFF light on the BATT 1(2) pushbutton would be indicating that the battery is now connected to the circuit. When the switch is closed, it completes the circuit and allows the battery power to flow to the bulb, causing it to turn off.