The document discusses random variables, outlining their definitions and types, including discrete and continuous random variables. It highlights that discrete random variables can assume countable values, while continuous random variables can take any value within an interval. Additionally, it mentions probability distributions and expected values for discrete random variables, specifically focusing on binomial probability distribution.

1. Random Variable and Binomial
Probability Distribution
Dr. Liaquat Ahmad
Associate Professor
Department of Statistics and Computer Science

2. Definition of Random Variable
A random Variable is a variable that assumes
numerical values associated with the random
outcome of an experiment, where one and only
one numerical value is assigned to each sample
point.

3. Types of Random Variables
1. Discrete Random Variable
A discrete random variable can assume a countable
number of values. Number of steps to the top of the
Minar-e-Pakistan.
2. Continuous Random Variable
A continuous random variable can assume any
value along a given interval of a number line.
The weight of a student, time to solve a
question.

4. Probability Distributions for
Discrete Random Variables

5. Probability Distributions for
Discrete Random Variables

6. Expected Values of discrete Random
Variables

7. Expected Values of discrete Random
Variables

8. Binomial Probability Distribution

15. Binomial Distribution

19. THANKS