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Bhagat Phool Singh Mahila Vishwavidyalaya, Haryana, Information Technology Semester 2, MATHEMATICS 2 Syllabus
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Unit - 1 Basic Probability
UNIT1
Basic Probability
1.1. Probability spaces Conditional probability Independence
1.2. Discrete random variables Independent random variables
1.3. The multinomial distribution
1.4. Poisson approximation to the binomial distribution
1.5. Infinite sequence of Bernoulli trials
1.6. Sums of independent random variables
1.7. Expectations of discrete random variables
1.8. Moments Variance of sum Correlation coefficients
1.9. Chebyshev’s inequality
UNIT1
Basic Probability
1.1. Probability spaces Conditional probability Independence
1.2. Discrete random variables Independent random variables
1.3. The multinomial distribution
1.4. Poisson approximation to the binomial distribution
1.5. Infinite sequence of Bernoulli trials
1.6. Sums of independent random variables
1.7. Expectations of discrete random variables
1.8. Moments Variance of sum Correlation coefficients
1.9. Chebyshev’s inequality
Unit - 2 Continuous probability and Bivariate Distributions
UNIT2
Distributions
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’s rule
Unit - 3 Basic & Applied Statistics
UNIT3
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
3.4. Correlation and regression Rank correlation
3.6. Curve fitting by the method of least square Fitting of straight lines
3.6. Second degree parabolas and more general curves
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