Solution:Concept- “They say he robbed the bank.” Means:he is said to have robbed the bank.
Now, let’s examine the given options-
( a) ‘ They say he’s been burgled in the bank ’ is an incorrect option because it fully changes the environment and the meaning of the judgment .
b) ‘ He's said to rob the bank ’ is an incorrect option because it indicates that Y will burglarize the bank eventually soon.
c) ‘ He said he ’d burgled the bank ’ is an incorrect option because we need to use the pronoun ‘ they ’ with the reporting verb.
( d) ‘ He's said to have burgled the bank ’ is the correct option because it indicates the asked meaning.
In the given question- We can conclude that Y is said to have burgled the bank. Then, we've used the present perfect tense to denote an action that was performed by Y in the history.
Hence , the correct answer is option 4.