Full credit will only be given to correct answers with a clear explanation of how they are obtained. Use additional paper as necessary.

1. If only the S/W property of nucleotide bases is considered, one can generate a binary Markov chain with transition probability matrix
   
   

   P  =	(	0.6	0.4	)
   		0.4	0.6

   
   
   Find the stationary distribution (f(s), f(w)) of this Markov chain. Enter your answers in the table below.
   
   

   x	f(x)
   S
   W

2. Write down the system of linear equations you'll need to solve in order to find the stationary distribution of the Markov nucleotide sequence with the transition probability matrix in problem 1 of Exercise 2A. You do not have to solve the system unless you have plenty of time or a calculator that does matrix calculations.