1. Consider the statement about a party, "If it's your birthday or there will be cake, then there will be cake." (a) Translate the above statement into symbols. Clearly state which state-ment is P and which is Q. (b) Make a truth table for the statement. (c) Assuming the statement is true, what (if anything) can you conclude if there will be cake? (d) Assuming the statement is true, what (if anything) can you conclude if there will not be cake