A binary second$-$order Markov source has the following transition probabilities $($read the problem carefully$)$:

P$(0|00)=0\mathrm{.}78$ P$(1|01)=0\mathrm{.}34$ P$(1|10)=0\mathrm{.}28$ P$(0|11)=0\mathrm{.}5$

a$)$Find the stationary state and symbol probabilities of this source.

b$)$Compute the entropy of this source.$$

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