The table below gives partial data for 84 dogs cross-classified according to personality trait and breed. The cell counts for the Doberman and Retriever are missing, but row and column totals are given. Rottweiler Doberman Retriever Aggressive Reactive 12 5. 50 Meek 22 10 35 39 84 a. If one dog is randomly chosen from the 84, what is the chance that it is: i. Meek? ii. An aggressive Rottweiler? iii. Reactive or a Rottweiler? iv. Neither aggressive nor a Rottweiler? v. Meek if it is known that it is a Rottweiler? vi. A Rottweiler if it is known to be aggressive? b. What value of x in the table makes the following two events independent? D= dog is a Doberman A = dog is Aggressive Support your answer with clear probability statements involving D and A. c. If two dogs are randomly chosen (without replacement) from the 84, what is the chance that: vii. Both are Retrievers? viii. Only one of the two is aggressive?