Probability and Statistics (Optional Paper)
Paper Code:
MAT 328
Credits:
5
Contact Hours:
75.00
Max. Marks:
100.00
Unit I:
I
15.00
Classical Theory of Probability, Law of total and compound probability, Conditional probability, Baye’s theorem (simple question based on the theorem).Random variable, discrete and continuous random variables.
Unit II:
II
15.00
Distribution function, probability mass function and probability density function. Bi-variate distributions Conditional and marginal distributions, Conditional expectation & variance. Co-varaiance. Analysis of bivariate data
Unit III:
III
15.00
Mathematical expectation & moment generating functions.Theoretical Discrete Distributions: Binomial and Poisson distributions with mean & variance, Poisson distribution as limiting case of Binomial distribution.
Unit IV:
IV
15.00
Theoretical Continuous Distribution: Normal distribution with its properties, Simple questions based on area property. Fitting of curves: Principle of curve fitting, fitting of straight line and second degree parabola by least squares method.
Unit V:
V
15.00
Correlation: Definition and types, properties of correlation, methods of studying correlation- Karl Pearson’s coefficient of correlation and Spearman Rank Correlation
Linear Regression - Definition, Fitting of two lines of regression, Regression coefficients with simple properties.
Essential Readings:
1. Chakravarthy, I.M.: Handbook of Applied Statistics (Willey).
2. Feller, W.: Introduction to Probability Theory and its Applications
(Willey - Eastern).
3. Mood, A.M., Graybill, F.: Introduction to the Theory of Statistics (Mc-Grawhill).
4. Gnedenko, B.: The Theory of Probability (MIR, Moscow).
5. Fundamentals of Statistics: Gupta, Kapoor, S.Chand Publications
6. Mathematical Statistics: Kapoor, Saxena, S.Chand Publications
Academic Year:
