Dr. Griffin is a veterinarian who sees only dogs and cats. In each appointment, she may or may not give the animal a vaccine. The two-way frequency table summarizes Dr. Griffin's 50 appointments last week. Vaccine No vaccine Dog Cat 12 13 18 7 Let vaccine be the event that a randomly chosen appointment (from the table) included a vaccine. Let dog be the event that a randomly chosen appointment (from the table) involved a dog. Find the following probabilities. Write your answers as decimals. (If necessary, consult a list of formulas.) (a) P(vaccine) = (b) P(dog and vaccine). = (c) P(dog | vaccine) =