M3 NOTES 3rd Sem CSE

2022 Scheme Notes – M3 NOTES (Download👇)

Syllabus Copy

Module 1

Probability Distributions: Review of basic probability theory. Random variables (discrete and continuous), probability mass and density functions. Mathematical expectation, mean and variance. Binomial, Poisson and normal distributions- problems (derivations for mean and standard deviation for Binomial and Poisson distributions only)-Illustrative examples. Exponential distribution.

Module 2

Joint probability distribution: Joint Probability distribution for two discrete random variables, expectation, covariance and correlation.

Markov Chain: Introduction to Stochastic Process, Probability Vectors, Stochastic matrices,
Regular stochastic matrices, Markov chains, Higher transition probabilities, Stationary
distribution of Regular Markov chains and absorbing states.

Module 3

Statistical Inference 1 – Introduction, sampling distribution, standard error, testing of hypothesis, levels of significance, test of significances, confidence limits, simple sampling of attributes, test of significance for large samples, comparison of large samples.

Module 4

Statistical Inference 2 – Sampling variables, central limit theorem and confidences limit for unknown mean. Test of Significance for means of two small samples, students ‘t’ distribution, Chi-square distribution as a test of goodness of fit. F-Distribution.

Module 5

Design of Experiments & ANOVA – Principles of experimentation in design, Analysis of completely randomized design, randomized block design. The ANOVA Technique, Basic Principle of ANOVA, One-way
ANOVA, Two-way ANOVA, Latin-square Design, and Analysis of Co-Variance.

M3 NOTES VTU 2022 SCHEME

Overview

Welcome to your ultimate resource hub for M3 NOTES VTU 2022 SCHEME – COMPUTER SCIENCE. If you are a 3rd Semester Computer Science student under the 2022 scheme, you’ve come to the right place. We provide detailed and precise notes that cover all modules comprehensively. Our notes are specifically designed to help you excel in your exams and deepen your understanding of core concepts. Let’s dive into the subject details.

Module 1: Probability Distributions

Begin your journey with a robust review of basic probability theory. This module covers:

• Random Variables: Both discrete and continuous, alongside probability mass and density functions.
• Mathematical Expectation: Understand the mean and variance.
• Distributions: Dive deep into Binomial, Poisson, and Normal distributions with illustrative examples and derivations for the mean and standard deviation for Binomial and Poisson distributions.
• Exponential Distribution: Learn its properties and applications.

Module 2: Joint Probability Distribution and Markov Chain

Enhance your knowledge with advanced probability concepts:

• Joint Probability Distribution: For two discrete random variables, including expectation, covariance, and correlation.
• Markov Chain: Introduction to stochastic processes, probability vectors, stochastic matrices, higher transition probabilities, stationary distribution of regular Markov chains, and absorbing states.

Module 3: Statistical Inference 1

Dive into statistical methods with this module:

• Sampling Distribution and Standard Error: Fundamental concepts for hypothesis testing.
• Testing of Hypothesis: Levels of significance and test of significance for large samples.
• Confidence Limits: Learn how to calculate and interpret them.

Module 4: Statistical Inference 2

Continue exploring statistical inference:

• Central Limit Theorem and Confidence Limits: For unknown means.
• Significance Tests for Means: For two small samples using Student’s ‘t’ distribution.
• Chi-square and F-Distribution: As tests of goodness of fit.

Module 5: Design of Experiments & ANOVA

Master the principles of experimentation and analysis:

• Design of Experiments: Principles and techniques.
• ANOVA: One-way and two-way analysis, Latin-square design, and analysis of covariance.

Additional Resources

In addition to M3, we offer comprehensive notes for other critical subjects in the 3rd semester under the 2022 scheme, including:

• Digital Design and Computer Organization
• Operating Systems
• Data Structures and Applications
• Object-Oriented Programming with Java

All our notes come with a PDF download option, ensuring you have the best and most precise study materials available on the internet.

Equip yourself with the best resources and ace your exams with our expertly crafted notes.

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