Probability (English)

   Tuesday, August 01, 2023   

Starting a new Lecture Notes Series on Probability

Youtube Lecture Playlist Credits 

Channel Name: Dr. Mathaholic

So Let Us Start to This Journey of Learning 

Probability By Lecture Notes together!

Lecture Description of this above Topic:

Lecture 1: Lecture 1: Random experiment, Sample space, Events and its type. Concept and examples.

Lecture 2: Lecture 2: First counting principle or multiplication rule in probability.

Lecture 3: Lecture 3: Axiomatic approach to probability. Proof of some important properties in probability

Lecture 4: Lecture 4: Motivation to study conditional probability

Lecture 5: Lecture 5 : Independent Events | Concept, Properties and Examples | Probability course

Lecture 6: Complement in Conditional Probability | P(A' | B) = 1 - P(A | B)

Lecture 7: Lecture 6 : Total Probability | Concept and Examples | Probability course

Lecture 8: Lecture 7: Bayes' theorem | Concept and Example | Probability course

Lecture 9: Lecture 8: Introduction to Random variable and its types.

Lecture 10: Lecture 9: Classify the given problems into Discrete or Continuous random variable

Lecture 11: Lecture 10: Probability Mass function & Cumulative Distribution function | discrete random variable

Lecture 12: Lecture 11: An Example on Probability Mass and Cumulative Distribution function | General formula

Lecture 13: Lecture 12: Probability Density function and Cumulative Distribution function | Concept & Examples

Lecture 14: What is the probability of getting 1 at even number of trials?

Lecture 15: Lecture 13: Joint Probability Distribution and Marginal Distribution for Discrete Random Variable

Lecture 16: Lecture 14: Joint Probability Distribution and Marginal Distribution for Continuous Random Variable

Lecture 17: Lecture 15: Conditional Probability Distribution and Statistical Independence of Random Variables

Lecture 18: Lecture 16: Mean / Expected value of a Random variable | Concept and Examples.

Lecture 19: Lecture 17: Variance and Standard Deviation of a Random Variable | Concept and Examples.

Lecture 20: Lecture 18: Properties of Expectation of a random variable along with examples.

Lecture 21: Lecture 19: Covariance of a random variable | Concept, Examples and some important properties

Lecture 22: Lecture 20: Properties of Variance of a random variable along with some examples.

Lecture 23: Lecture 21: Binomial Process, Trial, Random Variable and Binomial distribution.

Lecture 24: Lecture 22: Mean and variance of binomial distribution | Formula and Examples

Lecture 25: Lecture 23: Hypergeometric distribution | Concept, Examples, connection with Binomial distribution

Lecture 26: Puzzle number 1

Lecture 27: How to use Hypergeometric distribution online calculator?

Lecture 28: Lecture 24: Negative Binomial Distribution | Concept and Examples

Lecture 29: Lecture 25 : Geometric Distribution | Special case of Negative Binomial Distribution

Lecture 30: Lecture 26: Poisson Distribution | Concept and Examples using table

Lecture 31: Lecture 27: Proof of --- Limit of binomial distribution is Poisson Distribution.

Lecture 32: Puzzle number 7

Lecture 33: Lecture 28: Normal Distribution of a Random Variable (Part 1)

Lecture 34: Lecture 29: Standard Normal Distribution or Z-Distribution| Conceptual lecture | Part 2

Lecture 35: Lecture 30: Examples on Normal Distribution & Standard Normal Distribution / Z- Distribution(Part 3)

Lecture 36: Lecture 31: Normal Approximation to Binomial via Calculus

Lecture 37: Lecture 32: Gamma Distribution | Concept, Mean, Variance and Examples