Erin K. Melcon Problem I 1. Your instructor has a cat that is very vocal (she meows a lot). If the cats' food bowl is empty, the probability of hearing the cat meow during one hour is 0.98 (it does not matter how many times the cat meows). If the cats' food bowl is not empty, the probability of hearing the cat meow during one hour is 0.6. The probability that the food bowl is empty is 0.4. (a) Find the probability the cat meows in one hour. (b) Find the probability that the food bowl is not empty, or the cat does not meow, or both (the union). (c) If the cat meows, what is the probability the food bowl is empty