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Bihar Engineering University, Bihar, Electrical Engineering Semester 4, Mathematics III (Probability and Statistics) Syllabus
Mathematics III (Probability and Statistics) Lecture notes | Videos | Free pdf Download | Previous years solved question papers | MCQs | Question Banks| Syllabus
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Unit - 1 Basic Probability
1.1 Probability spaces
1.2 conditional probability
1.3 independence Discrete random variables
1.4 Independent random variables
1.5 The multinomial distribution
1.6 Poisson approximation to the binomial distribution
1.7 infinite sequences of Bernoulli trials
1.8 sums of independent random variables
1.9 Expectation of Discrete Random Variables
1.10 Moments variance of a sum
1.11 Correlation coefficient
1.12 Chebyshevs Inequality
1.1 Probability spaces
1.2 conditional probability
1.3 independence Discrete random variables
1.4 Independent random variables
1.5 The multinomial distribution
1.6 Poisson approximation to the binomial distribution
1.7 infinite sequences of Bernoulli trials
1.8 sums of independent random variables
1.9 Expectation of Discrete Random Variables
1.10 Moments variance of a sum
1.11 Correlation coefficient
1.12 Chebyshevs Inequality
Unit - 2 Continuous Probability Distributions
2.1 Continuous random variables and their properties
2.2 distribution functions and densities normal exponential and gamma densities
2.1 Continuous random variables and their properties
2.2 distribution functions and densities normal exponential and gamma densities
Unit - 3 Bivariate Distributions
3.1 Bivariate distributions and their properties
3.2 distribution of sums and quotients
3.3 conditional densities
3.4 Bayes rule
3.1 Bivariate distributions and their properties
3.2 distribution of sums and quotients
3.3 conditional densities
3.4 Bayes rule
Unit - 4 Basic Statistics
4.1 Measures of Central tendency Moments skewness and Kurtosis
4.2 Probability distributions Binomial Poisson and Normal evaluation of statistical parameters for these three distributions
4.3 Correlation and regression Rank correlation
4.1 Measures of Central tendency Moments skewness and Kurtosis
4.2 Probability distributions Binomial Poisson and Normal evaluation of statistical parameters for these three distributions
4.3 Correlation and regression Rank correlation
Unit - 5 Applied Statistics
5.1 Curve fitting by the method of least squares fitting of straight lines
5.2 second degree parabolas and more general curves
5.3 Test of significance Large sample test for single proportion
5.4 difference of proportions
5.5 single mean difference of means and difference of standard deviations
5.1 Curve fitting by the method of least squares fitting of straight lines
5.2 second degree parabolas and more general curves
5.3 Test of significance Large sample test for single proportion
5.4 difference of proportions
5.5 single mean difference of means and difference of standard deviations
Unit - 6 Small Samples
6.1 Test for single mean difference of means and correlation coefficients
6.2 Test for ratio of variances Chisquare test for goodness of fit and independence of attributes
6.1 Test for single mean difference of means and correlation coefficients
6.2 Test for ratio of variances Chisquare test for goodness of fit and independence of attributes
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