Consider beginning with an individual of known type and mating it with a hybrid, then mating an offspring of this mating with a hybrid, and so on. At each step, an offspring is mated with a hybrid. The type of the offspring can be modeled by a Markov chain with states AA, Aa, and aa.
a. Find the transition matrix for this Markov chain.
b. If the mating process in Exercise 31 is continued for an extended period of time, what percent of the offspring will be of each type?