OBJECTIVES:

• To provide necessary basic concepts in probability and random processes for applications such as random signals, linear systems in communication
• To understand the basic concepts of probability, one and two dimensional random variables and to introduce some standard distributions applicable to engineering which can describe real life
• To understand the basic concepts of random processes which are widely used in IT
• To understand the concept of queueing models and apply in
• To understand the significance of advanced queueing
• To provide the required mathematical support in real life problems and develop probabilistic models which can be used in several areas of science and

### UNIT I  PROBABILITY AND RANDOM  VARIABLES

Probability – Axioms of probability – Conditional probability – Baye‘s theorem – Discrete and continuous random variables – Moments – Moment generating functions – Binomial, Poisson, Geometric, Uniform, Exponential and Normal distributions.

### UNIT II  TWO – DIMENSIONAL  RANDOM   VARIABLES

Joint distributions – Marginal and conditional distributions – Covariance – Correlation and linear regression – Transformation of random variables – Central limit theorem (for independent and identically distributed random variables).

### UNIT III  RANDOM PROCESSES

Classification – Stationary process – Markov process – Poisson process – Discrete parameter Markov chain – Chapman Kolmogorov equations – Limiting distributions.

### UNIT IV  QUEUEING MODELS

Markovian queues – Birth and death processes – Single and multiple server queueing models – Little‘s formula – Queues with finite waiting rooms – Queues with impatient customers : Balking  and reneging.

### UNIT V  ADVANCED QUEUEING MODELS

Finite source models – M/G/1 queue – Pollack Khinchin formula – M/D/1 and M/EK/1 as special cases – Series queues – Open Jackson networks.

MA8402 Probability and Queuing Theory Previous Year Question Paper for Regulation 2017 question paper Download

• MA8402 Probability and Queuing Theory Apr/May 2019 Question Paper
• MA8402 Probability and Queuing Theory Nov/Dec 2019 Question Paper

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