4. Consider the following Finite State Automaton (where Node S7 is an End' state) on table Put the on the apple START S2 S3 S4 S5 S6 S7 box near near a. (5 points) Write an equivalent Phrase Structure Grammar. (Specify the root node, the lexical rules, and the phrasal rules.) b. (5 points) Draw a tree diagram to show how your PSG would generate the following sentence Make sure that all the nodes at the bottom of the tree are terminal nodes.) "Put the box on the apple near the table