A basket contains 4 puppies: one of the puppies has 1 spot, one of the puppies has 2 spots, and the remaining two puppies have 4 spots. Suppose two puppies are selected at random without replacement. Let the random variable X equal the total number of spots on the selected puppies. (a) Find the probability distribution of X. (b) Find the probability that the puppies have a total of 5 spots, i.e. find P(X 5). (c) Find the probability that the puppies have a total of 6 or more spots, i.e. find P(X 2 6). (d) Find the probability that the puppies have 5 or fewer spots or 8 spots, i.e. find P(X