(2) We model the growth of a population of bacteria by using a pure birth process denoted by X (73) When there are n individuals in the population, the average time needed for a birth to occur is 1/7; hours for n 2 0 (a) Compute 101,105). (b) Compute 191,203) by using the recursive formula seen in class i pig-(t) = Aj_1exp(Ajt)/ exp(/\\j3)pi1j_1(s)ds 0 (c) Compute p1,3(t) by using this recursive formula again. (d) Knowing that at time 0, there is one individual in the population, what is the probability that there will be exactly 2 births during the rst 2 hours