A one-celled organism can be in one of two states: A or B. An individual in state A will change to state B at an exponential rate . An individual in state B divides into two new individuals of type A at an exponential rate . Define an appropriate continuous-time Markov chain for a population of such organisms and determine the appropriate parameters for this model (the transition rates and jump probabilities.) (Hint: the state (N_A,N_B) is the number of individuals of each type.)