Assignment No. 3: (1) Consider a simple language that allows two words: yes and no. Develop a statistical model for spelling errors based on observations of the following data: yes, yis, yis, yas, yes, yes no, mo, do, mo, do, no This is the type of input you might see from an optical character recognition system. (2) Creare a finite state transducer that implements the following conversions: aaa => zzz aab => zzb baa => bzz aba => zbz bbb => bbb bba => bbz bab => bzb Display the transducer as a graph. Comment on its complexity. (3) Go to our standard SWITCHBOARD lexicon and extract 20 words which can be represented as 10 valid English morphemes plus stems. Explain the relationship of these morphemes to syllables.