Other university, Electrical Engineering , 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

Unit I

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

Unit - 2 Continuous Probability Distributions

Unit II

Continuous Probability Distributions

2.1 Continuous random variables and their properties

2.2 distribution functions and densities normal exponential and gamma densities

Unit - 3 Bivariate Distributions

Unit III

Bivariate Distributions

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

Unit IV

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

Unit - 5 Applied Statistics

Unit V

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

Unit - 6 Small Samples

Unit VI

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

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Other Subjects of second-year
Analog electronics
Digital electronics
Signals and systems
Engineering mechanics
Electromagnetic fields
Electrical machines – i
Electrical circuit analysis
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