(Exercise 12.7 of chapter 12. Book IIR) Language model: suppose we have a collection that consists of the 4 documents given in the below table Build a query likelihood language model for this document collection. Assume a mixture multinomial distribution model (linear interpolation, equation 12.10) between the documents and the collection, with both weighted at 0.5. Maximum likelihood estimation (mle) is used to estimate both as unigram models. Work out the model probabilities of the queries click, shears, and hence click shears for each document, and use those probabilities to rank the documents returned by each query. Fill in these probabilities in the below table: What is the final ranking of the documents for the query "click shears