Next Generation A given plant species has red, pink, or white owers according to the genotypes RR, RW, and WW, respectively If each type of these genotypes is crossed with a pink-flowering plant (genotype Red Roe: Fa": Wh'ge RW), then the transition matrix is as shown to the right, This P' k 0 2'5 0'5 0 25 Generation m ' ' ' White 0 0.5 0.5 Assuming that the plants of each generation are crossed only with pink plants to produce the next generation, show that regardless of the makeup of the rst generation, the genotype composition will eventually stabilize at 25% red, 50% pink. and 25% white. (Find the stationary matrix) Label the transition matrix P. Since P2 = , which has only 7 entries. this Markov chain is 7 Markov chain, (Type an integer or decimal for each matrix element.) Explain what is important about the stationary matrix/matrices because this Markov chain belongs to this special category of Markov chains. Select the correct choice below and, if necessary, ll in the answer box(es) within your choice. O A- It must have a series of stationary matrices, characterized + k( , where k is a real number from 0 to 1. O B- It must have a unique stationary matrix, which in this case is (Type an integer or decimal for each matrix element.) O c. It cannot have a stationary matrix. Explain how to conclude that, regardless of the rst generation, the genotype composition will eventually stabilize at 25% red, 50% pink, and 25% white, Choose the correct answer below. O A. Another important property of this type of Markov drain is that random chance will eventually produce a generation that perfectly matches the stationary state. at which point every future generation will identically match the stationary state. 0 B. Another important property of this type of Markov chain is that the given any initial-state matrix 30, the state matrices Sk approach the most central row of the transition matrix. 0 c. Another important property of this type of Markov chain is that given any initial-state matrix 80, the state matrices Sk approach the stationary matrix