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# Probability And Queueing Theory Premium Lecture Notes - Agalya Edition

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Probability And Queueing Theory Premium Lecture Notes - Agalya Edition
Rs.60.00

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Probability And Queueing Theory Premium Lecture Notes, Prepared by Agalya. Specially for Computer Science Engineering and Information Technology. Syllabus Covered based on Anna University B.E CSE and B.Tech I.T.

CONTENT:

PROBABILITY AND QUEING THEORY
UNIT-1 (Pages: 64)
RANDOM VARIABLE
UNIT-2 (Pages: 36)
TWO DIMENSIONAL RANDOM VARIABLE
UNIT-3 (Pages: 32)
RANDOM PROCESS
UNIT-4 (Pages: 36)
QUEUEING MODELS
UNIT-5 (Pages: 29)

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## Details

Probability And Queueing Theory Premium Lecture Notes, Prepared by Agalya. Specially for Computer Science Engineering and Information Technology. Syllabus Covered based on Anna University B.E CSE and B.Tech I.T.

PROBABILITY AND QUEING THEORY
UNIT-1 (Pages: 64)
RANDOM VARIABLE
UNIT-2 (Pages: 36)
TWO DIMENSIONAL RANDOM VARIABLE
UNIT-3 (Pages: 32)
RANDOM PROCESS
UNIT-4 (Pages: 36)
QUEUEING MODELS
UNIT-5 (Pages: 29)

UNIT-1
RANDOM VARIABLE
Definition for:
1. trial and even
2. Exhaustive events
3. Mutually exclusive events
4. Equally likely events
5. Independent event
Definition for:
1. Discrete random variable
2. Probability mass function
3. Probability distribution
Properties of distribution function
Expected value of a discrete random variable
Continuous random variable
Probability density function
Binomial distribution
Binomial experiment
Poison distribution
Geometric distribution
Memory less property
Uniform distribution
Experimental distribution
Gamma distribution

UNIT-2
TWO DIMENSIONAL RANDOM VARIABLE
Definition:
Two dimensional discrete variable
Join probability mass function of discrete random variable
Marginal probability function
Conditional probability function
Independent random variable

Continuous random variable
Regression
Lines of regression
Regression co-efficient
Angle between the regression lines
Transformation of random variable

UNIT-3
RANDOM PROCESS
Comparison of random variable and random process
Poison process
Discrete parameter

UNIT-4
QUEUEING MODELS
Characteristics of queuing system
Kendall’s notation for representation queuing models
Terminology
Pure death process
Birth and death process

UNIT-5
Pollaczek - Khinchin formula
Efficiency of a queuing system
Classification of network