Solution:
- The correct form is 'hasn't been caught'.
- The sentence is in the Present Perfect Passive tense. The word 'yet' often indicates this tense, signifying an action that has not happened up to the present moment.
- The structure for Present Perfect Passive is: subject + has/have + been + past participle.
- In this case, 'The burglar' is singular, so we use 'hasn't'.
Answer: hasn't been caught