Math Modeling:

(Please construct a discrete dynamical system model by using Markov Process)

Suppose that in a certain part of the country 90% of the children of college educated parents get a college education, but 10% do not. Also, among parents who are not college educated, 40% of their children get a college education, but the other 60% do not.

a) Sketch a graph of Transition Matrix.

b) Find a Model Formulation.

Assuming that the current distribution of parents in that region includes 35% who are college educated and 65% who are not.

1. Provide a Model (numerical) Solution by iterating your model formula 20 times

2. Provide a graphical solution to your iteration obtained in part 1

3. Provide a Model Interpretation

4. What will that distribution be three generations from now?