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.

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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
Solution
09.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
Solution
09.pdf
Supplementary and Back Paper
07.pdf 10.pdf 12.pdf 15.pdf 16.pdf 17.pdf 18.pdf

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