You were tasked with the construction of a language model from a corpus of bigrams. The following table shows all occurring bigrams and how often they appear in the corpus. The rows list the first word of the bigram and the columns list the second word of the bigram. The values list the count of the bigrams (right) and the conditional probabilities (left). 9 he in least men of short the was he 0 0 0 0 0 0 0 127 21 in 0 0 0 1 1 7 299 0 1 least 0 2 0 0 0 0 1 0 11 men 0 0 0 0 0 0 0 0 10 of 0 0 0 50 1 623 0 1 short 0 0 0 0 0 0 0 09 the 0 0 19 0 0 0 0 0 0 was 12 200 0 0 0 36 0 13 148 111 0 2 26 1 247 75 0 he in least men of short the was he 0 0 0 0 0 0 0 0.858 0.142 in 00 0.003.003 .023 .967 0 .003 least men of short the was 9 (a) Complete the right side of the table by calculating the conditional probabilies P(wi|W-1) of observing a word w; after observing Wi-1 for each bigram. (b) Estimate the probabilities of the unseen bigrams by applying Laplace smoothing. Update the left side of the table with the new bigram counts and recalculate the conditional probabilities based on the updated counts. You were tasked with the construction of a language model from a corpus of bigrams. The following table shows all occurring bigrams and how often they appear in the corpus. The rows list the first word of the bigram and the columns list the second word of the bigram. The values list the count of the bigrams (right) and the conditional probabilities (left). 9 he in least men of short the was he 0 0 0 0 0 0 0 127 21 in 0 0 0 1 1 7 299 0 1 least 0 2 0 0 0 0 1 0 11 men 0 0 0 0 0 0 0 0 10 of 0 0 0 50 1 623 0 1 short 0 0 0 0 0 0 0 09 the 0 0 19 0 0 0 0 0 0 was 12 200 0 0 0 36 0 13 148 111 0 2 26 1 247 75 0 he in least men of short the was he 0 0 0 0 0 0 0 0.858 0.142 in 00 0.003.003 .023 .967 0 .003 least men of short the was 9 (a) Complete the right side of the table by calculating the conditional probabilies P(wi|W-1) of observing a word w; after observing Wi-1 for each bigram. (b) Estimate the probabilities of the unseen bigrams by applying Laplace smoothing. Update the left side of the table with the new bigram counts and recalculate the conditional probabilities based on the updated counts