Suppose the population of a particular endangered bird changes on a yearly basis as a discrete dynamic system. Suppose that initially there are 60 juvenile chicks and 30 breeding adults, that is x0 = [60 30] . Suppose also that the yearly transition matrix is s 0.5 that 0 S s S 1 must be true because of what this number represents). A = [0 1'25] , where s is the proportion of chicks that survive to become adults (note (a) Which entry in the transition matrix gives the annual birthrate of chicks per adult? (b) Scientists are concerned that the species may become extinct. Explain why if 0 S 3