Suppose that a one-celled organism can be in one of two states-either A or B. An individual in state A will change to state B at an exponential rate α; an individaul in state B divides into two new individuals of type A at an exponential rate β. Dene an appropriate continuous-time Markov chain for a population of such organisms.Include in your description: (a) the denition of of X(t), (b) a rate diagram, (c) the transition rates vi , and(d) the Pij .