Question: Please, I need help with the exercise (taken from Introduction to Mathematical Methods in Bioinformatics , Alexander Isaev, Exercise 3.14 ) Consider an HMM with

Please, I need help with the exercise (taken from Introduction to Mathematical Methods in Bioinformatics, Alexander Isaev, Exercise 3.14)

Consider an HMM with silent states, and for every finite sequence x of letters from the corresponding alphabet Q define P(x) by formula

P(x)=all:Ln/s()=L)P(x,)). Show that xP(x)=1, where the summation is taken over all sequences of all finite lengths, including length 0 (the length is not fixed, sequences of length 0 correspond to paths that consist only of silent states).

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