Convert the given statement into passive voice. 

"The hotel owner will have distributed the food packets for free".

In the active voice, the subject performs the action. The given statement "The hotel owner will have distributed the food packets for free" is in active voice since the subject of the sentence, that is, the hotel owner is performing the verb "distribution". We need to convert it into the passive voice. In the passive voice, the subject will be shown as affected by the verb. The tense of the active statement is future perfect. The form "will have distributed" will change into "will have been distributed" in the passive voice while converting from the active voice. Hence, option A is correct. Option B is incorrect because of the wrong tense used. Similarly, option C is incorrect because of the wrong tense which is simple past. Option D is also incorrect as it uses simple future tense.