Details of MA2104 (Autumn 2025)
| Level: 2 | Type: Theory | Credits: 3.0 |
| Course Code | Course Name | Instructor(s) |
|---|---|---|
| MA2104 | Probability and Statistics I | Asok Kumar Nanda |
| Syllabus |
|---|
| Probabilty:
Classical definition, frequency definition and set theoretic definition of probability for discrete sample spaces; basic probability theorems (union of events/Booles inequality, etc.); conditional probability and Bayes theorem; independence of events; random variable and its probability distribution; definition of discrete and continuous random variables; expectation, variance and other moments; some moment inequalities; special discrete distributions: degenerate, two-point, uniform on n points, binomial, hypergeometric, Poisson, geometric, negative binomial; bivariate discrete distributions. Statistics: Descriptive Statistics: Data (collection, scrutiny and representation), frequency distribution, line diagram, bar diagram, histogram, pie chart. Applications of different moments: Measures of central tendency and dispersion, moments, Sheppard's correction, measures of skewness and kurtosis. Sampling: SRSWR and SRSWOR, drawing of samples from different populations. |
| References |
|---|
| Probabilty:
1. Cacoullos, T.; Exercises in Probability, Springer. 2. Feller, W.; An Introduction to Probability Theory and Its Applications, Vol. I, Wiley. 3. Gupta, S.C. and Kapoor, V.K.; Fundamentals of Mathematical Statistics, S. Chand. 4. Hoel, P.G., Port, S.C. and Stone, C.J.; Introduction to Probability Theory, Thomson Brooks/Cole. 5. Ross, S.; Introduction to Probability Models, Prentice-Hall. 6. Miller, I. and Miller, M., John E.; Freunds Mathematical Statistics with Applications, Pearson. Statistics: 7. Goon, A.M., Gupta, M. and Dasgupta, B.; Fundamentals of Statistics, Vols. I & II, World Press. 8. Miller, I. and Miller, M., John E.; Freunds Mathematical Statistics with Applications, Pearson. 9. Rencher, A.C.; Methods of Multivariate Analysis, Wiley. 10. Snedecor, G.W. and Cochran, W.G.; Statistical Methods. Iowa State University Press. |
Course Credit Options
| Sl. No. | Programme | Semester No | Course Choice |
|---|---|---|---|
| 1 | IP | 1 | Not Allowed |
| 2 | IP | 3 | Not Allowed |
| 3 | IP | 5 | Not Allowed |
| 4 | MP | 1 | Not Allowed |
| 5 | MP | 3 | Not Allowed |
| 6 | MR | 1 | Not Allowed |
| 7 | MR | 3 | Not Allowed |
| 8 | MS | 3 | Core |
| 9 | MS | 5 | Not Allowed |
| 10 | MS | 7 | Not Allowed |
| 11 | MS | 9 | Not Allowed |
| 12 | RS | 1 | Not Allowed |
| 13 | RS | 2 | Not Allowed |