3. Translation or symbolization of the following sentences (propositions). Use the capital letters given. (1 point per question; 6 points in total) a) It is not the case that both Ann (A) and Bob (B) are at home. b) Both Ann (A) and Bob (B) are not home. c) It is not the case that Professor Duncan will not be delivering [D] a major lecture today on the metaphysical and theological implications of symbolic logic and it is not the case that the lecture will not be open [O] to the public. d) If neither Walter [W] nor Sandy (S) can drive to Pittsburgh next weekend, then Jessica (] will not come home, unless Mary [M] is able to arrive on time. e) If neither rain [R] nor snow [S] nor sleet [T] nor hail [H] will prevent me from putting this letter in your mailbox, then if I am neither a postal worker [P] nor a sociopath [O], then I must just be a good friend [F]. f) An argument commits the fallacy of Appeal to Authority [A] if and only if it invokes [I] the expertise of some person and that person is not really qualified [Q]