Global Certificate in Probability Theory Basics
-- ViewingNowGlobal Certificate in Probability Theory Basics: This course is designed to provide a solid foundation in probability theory, a critical skill for data analysis, machine learning, and AI industries. It is essential for professionals working with data, including data scientists, statisticians, and analysts.
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โข Probability Basics: Introduction to probability theory, sample spaces, events, and probabilities.
โข Probability Axioms: Study of probability axioms, their interpretations, and consequences.
โข Conditional Probability: Definition and properties of conditional probability, conditional independence.
โข Discrete Random Variables: Concept of random variables, probability mass functions, cumulative distribution functions, and expectations.
โข Continuous Random Variables: Concept of continuous random variables, probability density functions, cumulative distribution functions, and expectations.
โข Joint and Marginal Distributions: Definition and properties of joint and marginal distributions, conditional distributions.
โข Expected Values and Moments: Computation of expected values, variances, and higher moments for random variables.
โข Common Random Variables: Study of common discrete and continuous random variables, their distributions, and properties.
โข Theorem of Total Probability and Bayes' Rule: Derivation and applications of the theorem of total probability and Bayes' rule.
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