For the zero order hidden Markov model defined in homework 3 determine probability of coding state at the last nucleotide of the sequence AGTAG. Use parameters provided in the homework solution (posted in course content). Show all of your work.

The original Sequence based on the Probabilities are computed

P(I)= ni/N where

i= Nucleotides{ A,T,G,C}

ni= Number of times (i) nucleotide occurs in a sequence

N= total number of nucleotides in the sequence

Probabilities of {A,T,G, C}

P(A): 281/1377= 0.204

P(C): 410/1377= 0.298

P(G): 488/1377= 0.354

P(T): 198/1377= 0.144