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Syllabus of Andhra University MCA - MCA 1.1.4 Probability, Statistics & Queuing Theory
With effect from 2004-05 admitted batch
Instruction: 3 Periods/week
Sessional Marks: 50
Univ-Exam-Marks:100
Time: 3 Hours
Probability: Definitions of probability, Addition theorem, Conditional probability,Multiplication theorem, Bayes theorem of probability and Geometric probability.
Random variables and their properties: Discrete Random variable, Continuous Random variable, Probability Distribution joint probability distributions their properties,Transformation variables, Mathematical expectations, probability generating functions.
Probability Distributions / Discrete distributions : Binomial, Poisson Negative binominal distributions and their properties. (Definition, mean, variance, moment generating function., Additive properties, fitting of the distribution.)
Continuous distributions : Uniform, Normal, exponential distributions and their properties.
Multivariate Analysis: Correlation, correlation coefficient, Rank correlation, Regression Analysis, Multiple Regression, Attributes, coefficient of Association, c2 – test forgoodness of fit, test for independence.
Estimation: Sample, populations, statistic, parameter, Sampling distribution, standarderror, unbiasedness, efficiency, Maximum likelihood estimator, notion & intervalestimation.
Testing of Hypothesis: Formulation of Null hypothesis, critical region, level of significance, power of the test.
Small Sample Tests : Testing equality of .means, testing equality of variances, test of correlation coefficient, test for Regression Coefficient.
Large Sample tests: Tests based on normal distribution
Queuing theory : Queue description, characteristics of a queuing model, study state solutions of M/M/1: a Model, M/M/1 ; N Model, M/M/C: Model, M/M/C: N Model Case studies
Text Books:
Probability & Statistics for Engineers and Scientists,Walpole, Myers, Myers, Ye. Pearson Education.
Probability, Statistics and Random Processes T.Veerarajan Tata McGraw – Hill
Reference Book:
Probability & Statistics with Reliability, Queuing and Computer Applications, Kishor S. Trivedi, Prentice Hall of India, 1999
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