Answer from cs61c-ax (Amanda Alfonso 15906918) for Question 2
(1) Automatic doors (i.e. if somebody steps on a sensor like in many stores or presses a sensor like many handicapped-accessible doors) could use finite state machines, so that the door is opened when a signal is asserted, and closes when the signal is deasserted
(2) The turn-still (I think that's what it's called!) at the RSF could use finite state machines, so that the turn-still rotates to let you through after you scan your ID card and assert a signal
(3) Alarm systems could use finite state machines, so that the alarm is sounded when a signal is asserted.