Indira Gandhi University, Haryana, Information Technology Semester 2, Mathematics - II Syllabus

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Unit - 1 Random variables and discrete probability distributions

Unit–1

Random variable and discrete probability distributions

1.1. Conditional probability

1.2. Probability spaces

1.3. Discrete random variables Independent random variables

1.4. Expectation of discrete random variables Sums of independent random variables

1.5. Moments Variance of a sum Correlation coefficient

1.7. Chebyshevs Inequality

1.8. The multinomial distribution

1.9. Poisson approximation to the binomial distribution

1.10. Infinite sequences of Bernoulli trials.

Unit - 2 Continuous and Bivariate probability distribution:

Unit–2

Continuous and Bivariate probability distribution

2.1. Continuous random variables and their properties

2.2. Distribution functions and densities

2.3. Normal Exponential and Gamma densities

2.4. Bivariate distributions and their properties

2.5. Distribution of sums and quotients

2.6. Conditional densities Bayes rule.

Unit–2

Continuous and Bivariate probability distribution

2.1. Continuous random variables and their properties

2.2. Distribution functions and densities

2.3. Normal Exponential and Gamma densities

2.4. Bivariate distributions and their properties

2.5. Distribution of sums and quotients

2.6. Conditional densities Bayes rule.

Unit - 3 Basic Statistics

Unit–3

Basic Statistics

3.1. Measures of Central tendency

3.2. Moments Skewness and Kurtosis

3.3. Probability distributions Binomial Poisson and Normal evaluation of statistical parameters for these three distributions

3.4. Correlation and regression – Rank correlation

3.5. Curve fitting by the method of least squares fitting of straight lines second degree parabolas and more general curves

Unit - 4 Applied Statistics

Unit–4

Applied Statistics

4.1. Test of significance Large sample test for single proportion

4.2. Difference of proportions single mean difference of means and difference of standard deviations

4.3. Small samples Test for single mean difference of means and correlation coefficients

4.4. Test for ratio of variances – Chisquare test for goodness of fit and independence of attributes

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Other Subjects of Semester-2
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