Course Archives Theoretical Statistics and Mathematics Unit

Course: Probability Theory I Level: Undergraduate Time: Currently not offered

Syllabus Past Exams Syllabus: Orientation, Combinatorial probability and urn models, Independence of events, Conditional probabilities, Random variables, Distributions, Expectation, Variance and moments, probability generating functions and moment generating functions, Standard discrete distributions (uniform, binomial,Poisson, geometric, hypergeometric), Independence of random variables, Joint and conditional discrete distributions. Univariate densities and distributions,standard univariate densities (normal, exponential, gamma, beta, chi-square, cauchy). Expectation and moments of continuous random variables. Transformations of univariate random variables. Tchebychev's inequality and weak law of large numbers. Top of the page Past Exams

Midterm 01.pdf 05.pdf 06.pdf 07.pdf 09.pdf 10.pdf 11.pdf 12.pdf 13.pdf 14.pdf 15.pdf 16.pdf 17.pdf 18.pdf 19.pdf 20.pdf 20s.pdf Solution 09.pdf 15.pdf 16.pdf 17.pdf 18.pdf 19.pdf Semestral 02.pdf 03.pdf 05.pdf 06.pdf 07.pdf 09.pdf 10.pdf 12.pdf 13.pdf 14.pdf 15.pdf 16.pdf 17.pdf 18.pdf 19.pdf 20.pdf 21.pdf Solution 09.pdf 15.pdf 18.pdf 19.pdf Supplementary and Back Paper 07.pdf 10.pdf 12.pdf 15.pdf 16.pdf 17.pdf 18.pdf 20.pdf 21.pdf Top of the page

[ Semester Schedule ][ SMU ] [Indian Statistical Institute]