(a)Zipf’s law:It states that given some corpus of natural language utterances, the frequency of any word is inversely proportional to its rank in the frequency table.Zipf’s law states that rank (r) of a word times its frequency (f) is approximately a constant (k) assuming words are ranked in order of decreasing frequency.r.f ≈ k or r.Pr ≈ c where,Pr is probability of word occurrence and c ≈ 0.1 for English.Zipf’s law is very important application in Information Retrieval. The whole data on the internet satisfies the zipf’s law.(b)Zipf’s law: Pr = A/rSince the probability of seeing any of the first m words must be 60% or greater, we would like to find the minimal m such that: A1+ A2 + .. + Am ≥ 0.6Here, we add up the terms for most common words manually to find minimal m: p1 = 0.21 = 0.2