Problem 3. Modeling Data (25pts). Consider a data set consisting of the following string of 160 symbols from the alphabet (A, B, C): AABBBACABBBACAAAAAAAAABBBACAAAAABACAAAAAABBBBACAAAAAAAA AAAABACABACAABBACAAABBBBACAAABACAAAABACAABACAAABBACAAAA BBBBACABBACAAAAAABACABACAAABACAABBBACAAAABACABBACA Look carefully at the above string. Having analyzed the string, describe an HMM model for it. Your description should include the number of states in the HMM, the transition matrix including the values of the elements of the matrix, the emission matrix including the values of its elements, and the initial state probabilities. You need to provide some description/justification for how you arrived at these numbers. l am not expecting you to code the HMM algorithm-you should be able to answer this question just by examining the sequence carefully. Problem 3. Modeling Data (25pts). Consider a data set consisting of the following string of 160 symbols from the alphabet (A, B, C): AABBBACABBBACAAAAAAAAABBBACAAAAABACAAAAAABBBBACAAAAAAAA AAAABACABACAABBACAAABBBBACAAABACAAAABACAABACAAABBACAAAA BBBBACABBACAAAAAABACABACAAABACAABBBACAAAABACABBACA Look carefully at the above string. Having analyzed the string, describe an HMM model for it. Your description should include the number of states in the HMM, the transition matrix including the values of the elements of the matrix, the emission matrix including the values of its elements, and the initial state probabilities. You need to provide some description/justification for how you arrived at these numbers. l am not expecting you to code the HMM algorithm-you should be able to answer this question just by examining the sequence carefully