Natural Language Processing (NLP) a. (5 points) What are the applications of NLP language models? List at least five applications. b. (5 points)What is the assumption of N-gram models? Describe the assumption. c. (5 points)What are the formulas of unigram, bigram, trigram? d. (5 points)What can we do with the sentences below by using the n-gram model? "I ate a cherry" Vs "Eye eight uh Jerry" "It is hard to recognize speech." VS "It is hard to wreck a nice beach." e. (10 points) Consider the following sequence, assuming the vocabulary V = {a,b,c} accbabacccacababbac i. What is p(c)? Show your steps. ii. What is p(cla)? Show your steps. iii. What is p(ac)? Note that the joint probability can be calculated using the following formula. P(X,Y)=P(XIY)P(Y) Show your steps. iv. What is p(acc)? Show your steps.