(20 points) A pandemic is sweeping the world. The medical prognosis for a patient with a certain disease is to recover, to die, to exhibit severe symptoms, or to exhibit no symptoms at all. The matrix of transition probabilities is

	Recover	Die	Severe Symptoms	No Symptoms
Recover	1	0	0	0
Die	0	1	0	0
Severe Symptoms	.65	.05	.15	.15
No Symptoms	.70	0	.05	.25

	a. What are the absorbing states and why? (5 points) b. What is the fundamental matrix? (10 points)
	c. What is the Limiting Transition Matrix and what is the probability that a patient with severe symptoms will recover?