$($b$)$ You are given an incomplete context$-$free grammar in Table $3-4$

Complete the given grammar into Chomsky Normal Form, so that it

can generate the following three sentences.

Mike takes Kate to a meal.

Kate gave a card to the boy.

Kate knew the student who laughed.

Table $3-4$

Abbreviation definitions:

IV: intransitive verb

DV: ditransitive verb

TV: transitive verb

Rel: relative clause