UNIT-I
Lecture-1: Deterministic & Random Experiment, Outcomes
Lecture-2: Samples space, Events
Lecture-3: Probability, Axioms, Bayes' Rule
Lecture-4: Total Probability Theorem
Lecture-5: Example-Communication Link
Lecture-6: Mathematical Modelling of a Random Experiment
Lecture-6.1: Mathematical Modelling of a Random Experiment
Lecture-6.2: Example-Communication Link (contd.,)
Lecture-7: The Concept of Random Variable
Lecture-8: Types of Random Variables, PMF and CDF
Lecture-9: CDF and PDF of a Random Variable
Lecture-9.1: Example-CDF/PDF
Lecture-10: Gaussian and Uniform Random Variables
Lecture-11: Rayleigh and other Random Variables
Lecture-12: Conditional distribution and density functions
Lecture-13: Expectation of a Random Variable
Lecture-13.1: Example-Mean of Gaussian Random Variable
Lecture-14: Functions that give Moments
Lecture-15: Transformation of a Random Variable
Lecture-16: Transformation of a Random Variable
Lecture-16.1: Example-Transformation of a continuous Random Variable
Lecture-16.2: Example-Transformation of a discrete Random Variable
Lecture-17: Chebyshev's Inequality