NIT Srinagar Syllabus CSE 4th Sem Introduction to Probability & Statistics

NIT Srinagar Syllabus CSE 4th Sem

Introduction to Probability & Statistics

4th Semester Syllabus

Statistics and probability:

Measures of Central tendency and Measures of Variations (Dispersions), Moments, Measures of skewness and kurtosis.

Random experiment, sample space, Events, Classical statistical and Axiomatic Definitions of Probability. Statements and proof of theorems on addition and multiplication of probabilities, Simple problems.

Baye’s theorem on conditional probability. Random Variables, Derivation of formulae for mean, Variance and moments of random variables for discrete and continuous cases.

Laws of expectation, Binomial, Poisson and normal Distributions, Beta and gamma Distribution, t-distribution, F-Distribution, Chi-square Distribution and their applications.

Methods of least squares, fitting a straight line and parabola of Degree ‘p’. Regression and correlation. Multiple and partial correlation.

Queuing Models: Poisson and exponential Distributions, Role of Poisson and Exponential distribution in queuing Theory, Birth and Death Models, Single channel Queuing Model.

Books Recommended:

  1. Fundamentals of Mathematical Statistics by S.C.Gupta and V.K.Kapoor, Sultan chand and sons, New Delhi, Latest edition
  2. Statistical Theory and Methodology in Science and Engineering by Brownlee, John Wiley and Sons.
  3. Introduction to Mathematical Statistics by R.E.Walpole,3rd edition New YorkMacmillan Publication.
  4. Data Analysis for Scientists and Engineers by Meyer, John Wiley and Sons.

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