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.
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.
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...
Related questions
Question
A certain little-known human language consists of only nouns and verbs. A sentence begins with a noun with
We can model this language using a Markov chain with two states: noun and verb.

Transcribed Image Text:**Understanding a Simple Markov Model in Linguistics**
A special human language is composed exclusively of nouns and verbs. A sentence begins with a noun with a 75% probability and with a verb at 25%. If a given word is a noun, there is a 75% likelihood the next word will be a verb, and a 25% chance it will be a noun. If a given word is a verb, there's a 75% chance the next word will be a noun and a 25% chance it will be a verb. This language can be modeled using a Markov chain with two states: noun and verb.
**1. Markov Chain Practice:**
When drawing the Markov chain for this language, it should feature:
- Only two nodes and four directed edges.
- Each nodal transition, such as from "noun" to "verb", will have a weight of 0.75, while "verb" to "noun" also carries a weight of 0.75.
**2. Probability of Initial Sentence Structure:**
Calculate the probability that the first three words of a sentence are all nouns:
- Approximately 4.69%.
**3. Determining the Third Word's Part of Speech:**
Identify the probability that the third word in a sentence is a noun:
- 25% chance.
**4. Analyzing "Yacc grep":**
For the sentence "Yacc grep," determine the most probable part-of-speech sequence using brute-force evaluation of all potential sequences. Choose the sequence with the highest probability:
- Noun Verb.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images

Recommended textbooks for you

A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON


A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
