RTU 4th sem Computer Engineering B.Tech. Syllabus Statistics & Probability Theory

4CS3A STATISTICS & PROBABILITY THEORY

Unit 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.

Unit 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.

Unit III

Correlation & Regression Correlation & regression: Linear regression, Rank
correlation, Method of least squares Fitting of straight lines & second degree
parabola. Linear regression and correlation analysis.

Unit 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.

Unit V

Discrete Parameter Markov chains:
M/G/1 Queuing model, Discrete parameter birth-death process.