AU MCA 1st Year 1st Semester Probability, Statistics and Queuing Theory Syllabus

AU MCA 1st Year 1st Semester Probability, Statistics and Queuing Theory Syllabus

Syllabus

1. Probability: Definitions of probability, Addition theorem, Conditional probability, Multiplication

theorem, Bayes‟ Theorem of Probability and Geometric Probability.

2. 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.

3. Probability Distributions: Discrete Distributions : Binomial, Poisson Negative Binominal

Distributions And Their Properties; Continuous Distributions : Uniform, Normal, Exponential

Distributions And Their Properties.

4. Multivariate Analysis : Correlation, Correlation Coefficient, Rank Correlation,

Regression Analysis, Multiple Regression, Attributes, Coefficient Of Association, Chi Square Test

For Goodness Of Fit, Test For Independence.

5. Estimation: Sample, Populations, Statistic, Parameter, Sampling Distribution, Standard Error, Un-

biasedness, Efficiency, Maximum Likelihood Estimator, Notion & Interval Estimation.

6. Testing of Hypothesis: Formulation of Null hypothesis, critic al region, level of significance, power of

the test;

7. Sample Tests: 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

8. Queuing Theory : Queue description, characteristics of a queuing model, study state solutions of

M/M/1: Model, M/M/1 ; N Model, M/M/C: Model, M/M/C: N Model , Case studies