This is the course webpage for the course 'Introduction to Probability and Statistics', PGP 2025-27 batch, Sections A & B
Session 1 - 2: Introduction to Probability
-- Random experiment, sample space, mutually exclusive and exhaustive events, classical definition of probability, some basic results on probability, long-run relative frequencies, conditional probability and associated results, independence of events.
Session 3: Joint Probability Distribution and Bayes' theorem
-- Joint probabilities and conditional probabilities, Bayes' theorem and its applications
Session 4 - 5: Random Variables
-- Random variables, Discrete Random variables, Probability Mass Function, Distribution Function, Expectation and Variance.
Session 6: Binomial and Poisson distributions
-- Introduction to Binomial and Poisson distributions, properties including expectation and variance.
Session 7: Continuous random variables
-- Introduction to continuous random variables, pdf, cdf, expectation, and variance.
Session 8: Uniform and Exponential Random variables
-- Introduction to Uniform and Exponential distributions, cdf, expectation, and variance, memoryless property of exponential, connection between exponential and Poisson random variables.
Sessions 9 - 10: The Normal distribution
-- Introduction to the Normal distribution, pdf, cdf, expectation, variance, standard normal distribution, percentiles.
Session 11: Bivariate Random variables, Conditional distributions, conditional expectation, and variance
-- Joint distribution of bivariate random variables, marginal and conditional distributions, expectation, variance, covariance, and correlation, linear combination of random variables with applications.
People vs Collins [Session 3+]
The Curious Campaign at Lit Lane [Session 3+]
On-Time Logistics [Session 7+]
Waiting for a ride with ZippGo [Session 8+]
QuickAid Diagnostics [Session 8+]
CoolChurn [Session 9+]
Problem Set 1 [Total probability, Conditional probability]
Problem Set 2 [Binomial and Poisson distributions]
Problem Set 3 [Exponential distribution, Poisson process]
Details of the assignment are in the file.
Last date for submission is September 24, 2025. No date change requests shall be entertained.
Please mention if you have used GenAI in completing your assignment.
Submission through Google Forms (will be shared) only; no email/hardcopy submissions allowed.