Overview

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Dive into an 11-hour comprehensive course on Statistics and Probability. Explore fundamental concepts including random variables, probability distributions, and mathematical expectation. Learn about various distribution types such as Binomial, Poisson, Exponential, Normal, and Uniform. Examine advanced topics like skewness, kurtosis, joint probability distributions, correlation coefficients, and regression analysis. Gain practical skills in problem-solving through numerous examples and solutions. Discover applications in operations research, including assignment problems, game theory, and job scheduling. Benefit from additional study tips, motivational content, and insights into academic pursuits like PhD interviews. Enhance your understanding of statistical concepts and their real-world applications in this extensive educational journey.

Syllabus

Statistics And Probability | Overview Of Random Variable & Probability Distribution.
Random Variable, Probability Mass Function, Distribution Function.
Random Variable, Probability Density Function, Cumulative Distribution Function.
Mathematical Expectation, Variance Of Continuous & Discrete Random Variable.
Binomial Distribution | Mean & Variance | Moment Generating Function.
Binomial Distribution | Fitting of Binomial Distribution | Examples.
Poisson Distribution | Proof Binomial Tends to Poisson Distribution.
Poisson Distribution | Mean & Variance | Moment Generating Function.
Poisson Distribution | Poisson Distribution Examples with Solutions.
Poisson Distribution | Fitting of Poisson Distribution | Example.
Exponential Distribution | Mean & Variance | Moment Generating Function.
Normal Distribution | Mean and Variance of Normal Distribution.
Normal Distribution | Moment Generating Function | Mean & Variance By MGF.
Normal Distribution | Normal Distribution Table & Area Under Curve | Examples.
Normal Distribution | Normal Distribution Table & Area Under Curve | Examples Part-II.
Uniform Distribution | Rectangular Distribution | Mean & Variance | Moment Generating Function.
Skewness & Kurtosis | Moments | Leptokurtic, Mesokurtic, Platykurtic.
Skewness & Kurtosis | Moments | Leptokurtic, Mesokurtic, Platykurtic | Examples.
Joint Probability Distribution , Joint PMF, Marginal PMF, Bivariate RV.
Joint Probability Distribution , Joint PMF, Marginal PMF, Statistical Independence.
Correlation Coefficient | Correlation Coefficient Example | Statistics.
Rank Correlation | Rank Correlation Coefficient | Spearman Rank Correlation.
Rank Correlation | Repeated Rank Correlation | Spearman Rank Correlation.
Regression Analysis, Regression Coefficient, Linear Regression Part-I.
Regression Analysis, Regression Coefficient, Linear Regression Part-II.
Regression Analysis, Angle Between Two Regression Lines, Proof.
When Study is So Boring ! | 6 Tips To Get Motivated During Exam Preparations.
Let's Crack CSIR NET | Top Educator | Unacademy Official Advertisement.
My Journey | 0 to 200K Subscriber | My Inspirations | Thanks A Lot.
Support Educational YouTube Channel | Thank [email protected] Purohit - GATE / IIT JAM / CSIR NET.
Engineering Mathematics | B.Sc. Mathematics | Best Youtube Channel For Mathematics.
Assignment Problem | Hungarian Method | Example of Assignment Problem.
Assignment Problem | Hungarian Method | Unbalanced Assignment Problem.
Assignment Problem | Hungarian Method | Maximization Assignment Problem.
Assignment Problem | Hungarian Method | Restricted Assignment Problem.
Game Theory | Saddle Point In Game Theory | Pure Strategy Game Theory | Operation Research.
Game Theory | Two Person Zero Sum Game | Mixed Strategy Game Theory | Operation Research.
Game Theory | Game Theory Dominance Rule | Operation Research.
Game Theory | Graphical Method Game Theory | Operation Research.
PhD Interview | PhD Interviews Questions | Tips and Tricks.
Job Scheduling | n-Jobs, 2-Machine | Johnson Algorithm.
How To Stay Focused | How To Stay Focused on Study | Gajendra Purohit.
What If I Fail | How To Deal With Failure | Sunday Motivational.
Studio tour How I Shoot??? - My First Vlog Gajendra Purohit.