PROBABLITY AND STATISTICS(Optional paper)

Paper Code: 
MAT328
Credits: 
5
Contact Hours: 
75.00
Max. Marks: 
100.00
Unit I: 
UNIT-1
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: 
UNIT-2
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: 
UNIT-3
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: 
UNIT-4
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: 
UNIT-5
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

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