The aim of this exercise is to simulate bacteria growth. Suppose that a certain type of bacteria divides or dies according to the following assumptions: (a) during a fixed time interval, called a...

The aim of this exercise is to simulate bacteria growth. Suppose that a certain type of bacteria divides or dies according to the following assumptions:

(a) during a fixed time interval, called a generation, a single bacterium divides into two identical replicas with probability p;

(b) if it does not divide during that interval, it dies;

(c) the offspring (called daughters) will divide or die during the next generation, independently of the past history (there may well be no offspring, in which case the colony becomes extinct).