Note for PROBABILITY AND RANDOM PROCESSES - PRP By RAJIV DASH

Probability, Probability introduced through Sets and Relative Frequency: Experiments and Sample Spaces, Discrete and Continuous Sample Spaces, Events, Probability Definitions and Axioms, Mathematical Model of Experiments, Probability as a Relative Frequency, Joint Probability, Conditional Probability, Total Probability, Bayes’ Theorem, Independent Events

The Random Variable , Definition of a Random Variable, Conditions for a Function to be a Random Variable, Discrete and Continuous, Mixed Random Variable, Distribution and Density functions, Properties, Binomial, Poisson, Uniform, Gaussian, Exponential, Rayleigh, Conditional Distribution, Methods of defining Conditioning Event, Conditional Density, Properties

Discrete Random Variable

Characteristics Random Variables

Binomial

Poisson

Uniform

Rayleigh Conditional Distribution

Gaussian

Central Limit Theorem