| Course Name | Probability and Statistics |
| Course Code | 15MAT214 |
| Program | B. Tech. in Electrical and Electronics Engineering, B. Tech. in Civil Engineering, B. Tech. in Aerospace Engineering, B. Tech. in Chemical Engineering, B. Tech. in Mechanical Engineering |
| Semester | Four & Five |
| Year Taught | 2019 |
Probability Concepts: Review of probability concepts – Bayes’ Theorem.
Random Variable and Distributions: Introduction to random variable – discrete and continuous distribution functions – mathematical expectations – moment generating functions and characteristic functions. Binomial, Poisson, Geometric, Uniform, Exponential, Normal distribution functions (MGF, mean, variance and simple problems) – Chebyshev’s theorem.
Sampling Distributions: Distributions of Sampling Statistics, Chi-square, t and F distributions (only definitions and use). Central Limit Theorem.
Theory of estimation: Point Estimation, Unbiased estimator – Maximum Likelihood Estimator – Interval Estimation.
Testing of Hypothesis: Large and small sample tests for mean and variance – Tests based on Chi-square distribution.
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