Lab and Case Studies: Implementation of various statistical measures like, mean, mode and deviations. Linear regression and correlations. Case studies with real time data.
| Course Name | Probability and Statistics |
| Course Code | 25MAT201 |
| Program | B. Sc. in Physics, Mathematics & Computer Science (with Minor in Artificial Intelligence and Data Science) |
| Semester | 3 |
| Credits | 4 |
| Campus | Mysuru |
Lab and Case Studies: Implementation of various statistical measures like, mean, mode and deviations. Linear regression and correlations. Case studies with real time data.
Measures of Central Tendency (Mean, Median, Mode), Measures of Dispersion (Range, Inter quartile range, Standard deviation,), skewness and kurtosis. Introduction to Probability: Probability, Conditional Probability, Multiplication and Total Probability rules, Independence, Bayes theorem. (Sections: 2.1 – 2.7)
Random variables, Probability Distributions. Mathematical expectation and variance.
Standard distributions – Binomial, Poisson, Standard continuous distributions – Exponential and Normal distributions. (Sections: 3.1-3.7, 3.9, 4.1-4.6, 4.9)
Two dimensional random variables-Joint, marginal and conditional probability distributions for discrete case only. Data Correlation Analysis, Regression analysis. (Sections: 5.1, 5.3, 5.5)
Introduction to hypothesis testing – large sample tests for single mean and two means. Small sample tests for single mean and two means – test for single variance – test for equality of two variances. Chi-square test for goodness of fit.
Course Objectives:
To enable students to understand the properties of probability and probability distributions and apply wide variety of specific statistical methods.
Course Outcomes
| COs | Description |
| CO1 | Analyze statistical data using measures of central tendency and measures of dispersion |
| CO2 | Explain Joint, Conditional, and Marginal probability distributions. |
| CO3 | Identify the characteristics of different discrete and continuous distributions. |
| CO4 | Calculate and interpret the correlation between two variables and the simple linear regression equation for a set of data. |
| CO5 | Apply statistical testing of hypothesis to make decisions under uncertainties. |
CO-PO Mapping
| PO/PSO |
PO1 |
PO2 |
PO3 |
PO4 |
PO5 |
PO6 |
PO7 |
PO8 |
PO9 |
PO10 |
PSO1 |
PSO2 |
PSO3 |
PSO4 |
| CO | ||||||||||||||
| CO1 | 2 | – | 2 | 3 | 3 | – | 2 | – | – | – | – | 2 | 2 | – |
| CO2 | 2 | – | 1 | 2 | 2 | – | 2 | – | – | – | – | 2 | 3 | – |
| CO3 | 2 | – | 2 | 2 | 2 | – | 3 | – | – | – | – | 2 | 2 | – |
| CO4 | 2 | – | 2 | 3 | 3 | – | 2 | – | – | – | – | 3 | 3 | – |
| CO5 | 2 | – | 3 | 2 | 2 | – | 3 | – | – | – | – | 3 | 2 | – |
TEXT BOOKS:
1) Ronald E. Walpole, Raymond H. Myers, Sharon L. Myers and Keying Ye, Probability and Statistics for Engineers and Scientists, 8th Edition, Pearson Education Asia, 2007.
REFERENCE BOOKS:
1) Douglas C. Montgomery and George C. Runger, Applied Statistics and Probability for Engineers, John Wiley and Sons Inc., 2005
2) Ross S.M., Introduction to Probability and Statistics for Engineers and Scientists, 3rd edition, Elsevier Academic Press.
3) Ravichandran, J. Probability and Statistics for engineers, First Reprint Edition, Wiley India, 2012
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