In this game, the character (you) can attempt to tame a wolf with a bone. Assume that you get 19 tries to tame the wolf, i.e. there are 19 bones. Each time you tame the wolf, the wolf becomes a dog and a new wolf appears which you can then attempt to also tame. This continues until you have used up all 19 bones, and the goal is to end up with as many dogs as possible at the end of the game. The probability of taming the wolf with each attempt is fixed at 0.5. Let X denote the number of dogs at the end of the game so that X ∼ B I N ( 19, 0.5 ). Assume you are about to play the game. What is the probability you will tame exactly 3 dogs? What is the probability you will tame less than 4 dogs? What is the probability you will tame more than 4 dogs? If you tame more than half of the dog