A certain little-known human language consists of only nouns and verbs. A sentence begins with a noun with probability 75% and with a verb with probability 25%. If a given word in a sentence is a noun, there is a 75% probability that the next word is a verb and a 25% probability that the next word is a noun. If a given word is a verb, there is a 75% probability that the next word in the sentence is a noun and a 25% probability that is a verb. We can model this language using a Markov chain with two states: noun and verb. 1. Draw theMarkov chain that model this language 2 .What is the probability that the first three words of a sentence are all nouns? 3. What is the probabilities that the third word of a sentence ia s noun.

A certain little-known human language consists of only nouns and verbs. A sentence begins with a noun with probability 75% and with a verb with probability 25%. If a given word in a sentence is a noun, there is a 75% probability that the next word is a verb and a 25% probability that the next word is a noun. If a given word is a verb, there is a 75% probability that the next word in the sentence is a noun and a 25% probability that is a verb. We can model this language using a Markov chain with two states: noun and verb. 1. Draw theMarkov chain that model this language 2 .What is the probability that the first three words of a sentence are all nouns? 3. What is the probabilities that the third word of a sentence ia s noun.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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