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Rajiv Gandhi Proudyogiki Vishwavidyalaya (RGPV)
B.Tech
Artificial Intelligence and Data Science
3rd Semester - Artificial Intelligence and Data Science Subjects
Probability and Statistics for Data Science
Probability and Statistics for Data Science
Units
Unit 1: Data Science & Statistics
Introduction to Data Science
Data Science Life Cycle
Descriptive and Inferential Statistics
Measures of central tendency
Measures of dispersion
Unit 2: Skewness, Kurtosis & Theory of probability
Skewness and Kurtosis
Moments
Introduction and definition of Probability
Event and Sample Space
Law of addition and multiplication of Probabilities
Conditional Probability
Independent and Dependent events
Bayes theorem
Mathematical Expectations
Moment generating functions
Unit 3: Theoretical Distribution & Curve fitting
Discrete Distribution
Binomial and Poisson Distribution
Continuous Distribution
Rectangular and Normal distribution
Curve fitting
Methods of Least square
fitting a Straight line and a Parabola
Unit 4: Correlation and Regression
Correlation
Coefficient of Correlation
Rank Correlation
Lines of Regression
Multiple and Partial Correlation
Unit 5: Testing of hypothesis
Null and Alternative hypothesis
two types of errors
level of significance and power of the test
Chi-square distribution
test of popular variance
test of goodness of fit
t F Z distribution