Given a source generates two symbols the a-priori probability of x1 is p(x)=0..25. The transition matrix of the channel is as follows p(y1/x1)=0.3, p(y1/x2)=0.4. Find the following:
a) What is the type of the channel.
b) Find the self information contained in x2.
c) Find the destination entropy.
d) Find the entropy of a second order zero memory source.
e) Draw the channel.
f) Find the output a-posteriori probabilities of cascading two channels.
g) Find the average mutual information.