4IT4-STATISTICS & PROBABILITY THEORY |
Units: I |
Introduction & Discrete random variables
Sample space, events, algebra of events, Bernoulli’s trials, Probability & Baye’s
theorem. Random variable & their event space, probability generating function,
expectations, moments, computations of mean time to failure, Bernoulli & Poisson
processes.
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Units: II |
Discrete & continuous distributions
Probability distribution & probability densities: Binomial, Poisson, normal
rectangular and exponential distribution & their PDF’s, moments and MGF’s for
above distributions. |
Units: III |
Correlation & Regression Correlation & regression: Linear regression, Rank
correlation, Method of least squares Fitting of straight lines & second degree
parabola. Normal regression and correlation analysis.
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Units: IV |
Queuing Theory
Pure birth, pure death and birth-death processes. Mathematical models for M/M/1,
M/M/N, M/M/S and M/M/S/N queues.
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Units: V |
Discrete Parameter mark on chains:
M/G/1 Queuing model, Discrete parameter birth-death process.
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