Note: This syllabus is common for
 R18  B.TECH II Year I Sem.  CSE, IT
MA303BS: COMPUTER ORIENTED STATISTICAL METHODS
B.TECH II Year I Sem. L T P C
3 1 0 4
Prerequisites: Mathematics courses of first year of study.
Course Objectives: To learn
 The theory of Probability, and probability distributions of single and multiple random variables
 The sampling theory and testing of hypothesis and making inferences
 Stochastic process and Markov chains.
Course Outcomes: After learning the contents of this paper the student must be able to
 Apply the concepts of probability and distributions to some case studies
 Correlate the material of one unit to the material in other units
 Resolve the potential misconceptions and hazards in each topic of study.
UNIT  I
Probability: Sample Space, Events, Counting Sample Points, Probability of an Event, Additive Rules, Conditional Probability, Independence, and the Product Rule, Bayes’ Rule.
Random Variables and Probability Distributions: Concept of a Random Variable, Discrete Probability Distributions, Continuous Probability Distributions, Statistical Independence.
UNIT  II
Mathematical Expectation: Mean of a Random Variable, Variance and Covariance of Random Variables, Means and Variances of Linear Combinations of Random Variables, Chebyshev’s Theorem.
Discrete Probability Distributions: Introduction and Motivation, Binomial, Distribution, Geometric Distributions and Poisson distribution.
UNIT  III
Continuous Probability Distributions: Continuous Uniform Distribution, Normal Distribution, Areas under the Normal Curve, Applications of the Normal Distribution, Normal Approximation to the Binomial, Gamma and Exponential Distributions.
Fundamental Sampling Distributions: Random Sampling, Some Important Statistics, Sampling Distributions, Sampling Distribution of Means and the Central Limit Theorem, Sampling Distribution of S2, t –Distribution, FDistribution.
UNIT  IV
Estimation & Tests of Hypotheses: Introduction, Statistical Inference, Classical Methods of Estimation.: Estimating the Mean, Standard Error of a Point Estimate, Prediction Intervals, Tolerance Limits, Estimating the Variance, Estimating a Proportion for single mean , Difference between Two Means, between Two Proportions for Two Samples and Maximum Likelihood Estimation.
Statistical Hypotheses: General Concepts, Testing a Statistical Hypothesis, Tests Concerning a Single Mean, Tests on Two Means, Test on a Single Proportion, Two Samples: Tests on Two Proportions.
UNIT  V
Stochastic Processes and Markov Chains: Introduction to Stochastic processes Markov process. Transition Probability, Transition Probability Matrix, First order and Higher order Markov process, nstep transition probabilities, Markov chain, Steady state condition, Markov analysis.
TEXT BOOKS:
 Ronald E. Walpole, Raymond H. Myers, Sharon L. Myers, Keying Ye, Probability & Statistics for Engineers & Scientists, 9th Ed. Pearson Publishers.
 S C Gupta and V K Kapoor, Fundamentals of Mathematical statistics, Khanna publications.
 S. D. Sharma, Operations Research, Kedarnath and Ramnath Publishers, Meerut, Delhi
REFERENCE BOOKS:
 T.T. Soong, Fundamentals of Probability And Statistics For Engineers, John Wiley & Sons Ltd, 2004.
 Sheldon M Ross, Probability and statistics for Engineers and scientists, Academic Press.

CreatedNov 29, 2020

UpdatedDec 12, 2020

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