Please help me to answer this question

8.4.2. 162 - -- ---r---- -- -- "r - ---u u ---- Many characteristics of plants and animals are determined genetically. Suppose the height of a variety of corn is determined by a gene that comes in two forms, 8. Applications I T and t. Each plant has a pair of these genw and can thus be pure dominant type IT, pure recessive type it, or hybrid TE. Each seed obtains one of the two genm from one plant and the second from another plant. In each generation, a geneticist randomly and independently selects two plants from all possible oEspring. These two plants are the new parents and are used to breed the plants for the next generation. (a) Set up a Markov chain to model this experiment. The states will be the pairs of genotypes of the parents. Since it does not matter which parent plant contributed which gene to the offspring, you need only consider six states: (TTJT), (T1113), (TT,tt), (Tt,T't), (Tt,tt),and (thin). (So, for example, (ET,TT) is the same state as (TT,T).) As an example, if you are in the state (T3, T3), then the possible oEsprings are TT,Tt,tT, and ti, and we are assuming a large number of these 0&- springs are produced. TE and 3T are the same, and so, if you pick one offspring, with probability 1,14 it is going to be TT, with probability 1f2 it is Ti, and with probability 1,34 it is it. The same probabilities are in eect for the second choice of an offspring, and so with probability 1,116, we will end up in the state (TT, TT), and with probability 1f4 we end up in the state (TT,T') (make sure you see why). (b) Show that this is an absorbing Markov chain. (c) Interpret the results of the Emdamental Theorem of Absorbing Markov Chains for this model