Let p be the statement "Bob has a corgi", q be the statement "Bob is not busy", and r be the statement "Bob needs to clean his apartment." a) Translate the following statement into English: (p^q) r (5 Points) b) Rewrite the following sentence using logical operators (5 Points) "Bob needs to clean his apartment, unless he does not have a corgi or he is not busy." c) Determine whether the following argument is valid. Justify your answer. (5 Points) "If Bob does not have a corgi, he does not need to clean his apartment. Bob is not busy only if he does not need to clean his apartment. Therefore, if Bob has a corgi, he is busy.