Data Analytics

1. Introduction to Data Analytics
Lecture: Random Variables and Probability distributions – 1
NPTEL MOOC
By
Prof. Nandan Sudarsanam, DoMS, IIT-M and
Prof. B. Ravindran, CS&E, IIT-M

2. • Random Variable: A variable whose value is subject to variations due
to randomness.
• The mathematical function describing this randomness (the
probabilities for the set of possible values a random variable can take)
is called a probability distribution.
• Continuous and Discrete probability density functions
• Discrete
Random Variables
Event No Event
x
1-x
1/6
Probability
Probability
Heads Tails
14/30 16/30
Probability
1 2 3 4 5 6

3. • Continuous Distributions
• Probability of certain height
• Total Probability of all outcomes
Random variables
Probability
height

4. • Probability Density functions (PDFs) and Cumulative Density
Functions (CDF)
• Going from PDF to CDF and vice versa
Random Variables
Probability
height
Probability
height
1.0
PDF CDF