Solution: Var (ax+b) = a2 Var x Var (3x+8) = 32 Var x = 36 2. If Var(x) = 4, find Var (3x+8), where X is a random variable. Trivedi, “Probability and Statistics with Reliability, Queueing and Computer Science Applications”, John Wiley and Sons, 2nd edition, 2002.ġ. Taha, “Operations Research”, Pearson Education, Asia, 8th edition, 2007. Allen, “Probability, Statistics and Queueing Theory with Computer Applications”, Elsevier, 2nd edition, 2005. Harris, “Fundamentals of Queueing Theory”, Wiley Student edition, 2004 (For units 4 and 5).Ī.O. Ibe, “Fundamentals of Applied Probability and Random Processes”, Elsevier, 1st Indian Reprint, 2007 (For units 1, 2 and 3). M/G/1 queue- Pollaczek- Khintchine formula, series queues- open and closed networks TUTORIAL 15 TOTAL : 60 TEXT BOOKS 1. Markovian models – Birth and Death Queuing models- Steady state results: Single and multiple server queuing models- queues with finite waiting rooms- Finite source modelsLittle’s Formula UNIT V UNIT IIIĬlassification - Stationary process - Markov process probabilities - Limiting distributions-Poisson process UNIT IV UNIT II TWO DIMENSIONAL RANDOM VARIABLES 9+3 Joint distributions - Marginal and conditional distributions – Covariance - Correlation and regression - Transformation of random variables - Central limit theorem. Binomial, Poisson ,Geometric ,Negative binomial, Uniform, Exponential, Gamma, and Weibull distributions. PROBABILITY AND QUEUEING THEORY (Common to CSE & IT)ĭiscrete and continuous random variables - Moments - Moment generating functions and their properties.
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