1. A herd of 50 ungulates is released on to a large island. The birth and death probabilities are A= 0.15 and 11 = .05 per animal per year. A hunter wishes to visit the island when he can be 95% sure that the herd has doubled in size. How long will he have to wait? Assume a simple birth and death process applies.
2. Let T be the extinction time in a pure death process with no individuals initially. What is the density of T?