Probability and Statistics
Probability
The likelihood of the occurrence of an event
resulting from statistical experiments
Probability of an event
It is the sum of the weights of all sample
points in A. Hence
Probability and Statistics
Probability
Example

Random Variable and Stochastic Process
Lecture-1
Experiments, Models, and Probabilities
Set Theory
The mathematical basis of probability is the theory of sets.
Most people who study probability have already encountered set theory and are familiar
with suc

Chapter-2
Discrete Random Variables
Random Variable
Two Types of Random Variable
Discrete Random Variable
Example:
X = # of data packets arrive at a station in a second
Y = # of shuttle-cocks used in one badminton game
Continuous Random Variable
Example

Chapter-3
Continuous Random Variables
Contents
The Cumulative Distribution Function
Probability Density Function
Expected Values
Families of Continuous Random Variables
Gaussian Random Variables
Probability Models of Derived Random Variables
Conditioning