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Axioms of Probability

Track :

Mathematics

Lessons no : 88

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What will you learn in this course?
  • Understand and apply Kolmogorov's axioms to real-world probability problems using mathematical reasoning and set theory
  • Analyze probability spaces, events, and outcomes to model uncertainty accurately in practical scenarios
  • Calculate probabilities of complex events through axiomatic principles, including conditional and joint probabilities
  • Differentiate between discrete and continuous probability distributions using axiomatic foundations
  • Utilize axioms to derive properties of probability measures, such as non-negativity, normalization, and countable additivity
  • Implement probability axioms to solve problems in statistics, data analysis, and risk assessment
  • Evaluate the consistency and validity of probability models based on axiomatic principles
  • Apply axiomatic probability to develop and interpret probabilistic models in various scientific and engineering contexts

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Lessons | 88
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MOTUKA SATHWIKA 

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Axioms of Probability course, in this course we explore the foundational principles and mathematical framework governing probability theory.