As per SRM Institute of Science and Technology Syllabus and Question Pattern 1.0 Introduction - Probability Concepts 1.1 Introduction - Axioms of Probability 1.2 Introduction - Conditional Probability 1.3 Discrete Random Variables 1.4 Continuous Random Variables 1.5 Moments - Central and row moments, Expectation and variance - M.G.F 1.6 Tchebycheff's inequality 1.7 Functions of a Random Variable *Multiple Choice Questions Unit 2 Theoretical Distributions Discrete Distribution: 2.1 Binomial distribution – 2.1 - 2.21 2.2 Poisson distribution – 2.22 - 2.42 Continuous Distribution: 2.3 Exponential distribution – 2.43 - 2.52 2.4 Normal distribution – 2.53 - 2.71 M.C.Q – MCQ.1 – MCQ.8 Unit – III Two Dimensional random variables Formula F 3.1 – F 3.2 3.0 Introduction 3.1 – 3.7 3.1 Discrete Random Variables 3.8 – 3.23 3.1 Continuous random variables 3.24 – 3.57 3.2 Covariance, Correlation and 3.58 – 3.80 Regression 3.3 Regression 3.81 – 3.98 3.4 Central Limit Theorem 3.99 – 3.122 MCQ 1 - 14 UNIT – 4 4.0 Introduction 4.1 4.1 - Markovian Queues 4.1 - Characteristics of a Queueing model - Kendal’s Notation 4.1 (a) (M/MI 1) : (∞/F1FO) 4.15 4.1 (b) (M/MI S) : (∞/F1FO) 4.46 4.1 (c) (M/MI1) : (∞/F1FO) 4.68 Unit – 5 Markov Chain 5.0 Introduction 5.1 5.1 Discrete Parameter 5.2 markov process - One step transition Probability matrix - Chapman Kolmogorov Type 1 - 5.5 Type 2 - 5.24 Type 3 - 5.31 Type 4 - 5.42 5.2 Classification of markov chain 5.45 Type 5 - 5.55 – 5.60 MCQ - Mcq 1 to Mcq 14