An electric hot water tank system is controlled by IoT devices. Its

workflows can be described as following:

$$ If the system is turned OFF, it stays at a $$Standby$$ state. If it is turned ON$,$ it goes to

$$Ready$$ state immediately.

$$ If the water temperature is lower than $50$C$,$ it gets to the $$Heating$$ state and the

heater is turned on so that water is heated.

$$ If the water temperature is above $60$C$,$ it enters the $$Ready$$ state and the heater

is turned OFF.

$$ If the water temperature, T$,$ is within the range of $50$ ~ $60$ degree Celsius, i$.$e$.50$C $<=$

T $<=60$C$,$ it stays at the $$Ready$$ state.

$$ In $$Heating$$ state, the system can be turned OFF at any time.

$1$: Implement these workflows in Finite State Machine $($FSM$).$

$$ List the FSM states, events, actions, and the state transitions.

$$ Draw a FSM state transition diagram to satisfy these workflows.

$2$: For safety reasons, the system needs to be improved especially when

the water is getting too hot $($for example, if the water temperature is

above $65$C unexpectedly$).$ Using one extra state, describe how you will

improve the design and implement your new design with a FSM state

transition diagram.