| Subject Code:54001 L:3 T/P/D:1 Credits:3 Int. Marks:25 Ext. Marks:75 Total Marks:100 |
| UNIT I: Probability |
| Sample space and events – Probability – The axioms of probability – Some Elementary theorems - Conditional probability – Baye’s theorem, Random variables – Discrete and continuous. |
| UNIT II: Distributions |
| Binomial , Poisson & normal distributions related properties . Sampling distributions –Sampling distribution of means ( known and Unknown) |
| UNIT III: Testing of Hypothesis I |
| Tests of hypothesis point estimations – interval estimations Bayesian estimation. Large samples, Null hypothesis – Alternate hypothesis type I, & type II errors – critical region confidential interval for mean testing of single variance. Difference between the mean. |
| UNIT IV: Testing of Hypothesis II |
| Confidential interval for the proportions. Tests of hypothesis for the proportions single and difference between the proportions. |
| UNIT V: Small samples |
| Confidence interval for the t- distribution – Tests of hypothesis – t- distributions, F- distributions distribution. Test of Hypothesis –. |
| UNIT VI: Correlation & Regression |
| Coefficient of correlation – Regression Coefficient – The lines of regression – The rank correlation |
| UNIT VII: Queuing Theory |
| Arrival Theorem - Pure Birth process and Death Process M/M/1 Model . |
| UNIT VIII: Stochastic processes |
| Introduction to Stochastic Processes – Markov process classification of states – Examples of Markov Chains, Stochastic Matrix, limiting probabilities. |
| TEXT BOOKS: |
| 1. Probability & Statistics by D.K. Murugesan & P.Guru Swamy, Anuradha Publications |
| 2. Probability & Statistics for Engineers by G.S.S.Bhisma Rao, Scitech Publications. |
| REFERENCE BOOKS: |
| 1. Probability & Statistics by T.K.V.Iyengar & B.Krishna Gandhi & Others, S.Chand. |
| 2. Probability & Statistics by William Mendenhall & Others, Cengage Publications. |
| 3. Higher Engineering Mathematics by B.S. Grewal, Khanna Publications. |
| 4. Higher Engineering Mathematics by Jain & S.K.R. Iyengar, Narasa Publications. |