Sidho-Kanho-Birsha University
Syllabus & Course Curriculam
Syllabus & Course Curriculam
Course Type: ME-4
Semester: 4
Course Code: BSTAMEB24T
Course Title: Probability and Probability Distributions-I
(L-P-Tu): 4-0-0
Credit: 4
Practical/Theory: Theory
Course Objective:
Learning Outcome: This will provide basic ideas on probability.
Unit 1
Probability: Introduction, random experiments, sample space, events and algebra of events. Definitions of Probability – classical, statistical, and axiomatic.
Unit 2
Conditional Probability, laws of addition and multiplication, independent events, theorem of total probability, Bayes’ theorem and its applications.
Unit 3
1. Random variables: discrete random variables, p.m.f. and c.d.f., statement of properties of c.d.f, illustrations and properties of random variables.
2. Standard discrete probability distributions: Binomial, Poisson, geometric, negative binomial, hypergeometric, uniform.
Reading References:
Chung, K.L. (1983): Elementary Probability Theory with Stochastic Process, Springer / Narosa.
Feller, W. (1968): An Introduction to Probability Theory & its Applications, John Wiley.
Goon, A.M., Gupta, M.K. & Dasgupta, B. (1994): An Outline of Statistical Theory (Vol-1), World Press.
Parzen, E. (1972): Modern Probability Theory and its Applications, John Wiley .
Uspensky, J.V. (1937): Introduction to Mathematical Probability, McGraw Hill.
Cacoullos, T. (1973): Exercises in Probability. Narosa.
Rahman, N.A. (1983): Practical Exercises in Probability and Statistics, Griffen.
Ross, S. (2002): A First Course in Probability, Prentice Hall.
Basic Features
Undergraduate degree programmes of either 3 or 4-year duration, with multiple entry and exit points and re-entry options, with appropriate certifications such as:
Note: The eligibility condition of doing the UG degree (Honours with Research) is- minimum75% marks to be obtained in the first six semesters.
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