[SEM 3] Probability and Statistics (3130006) GTU Study Materials | Computer Engineering | BE | GTU Medium

Syllabus Content : Download

Unit-1:  Basic Probability

Experiment, definition of probability, conditional probability, independent events, Bayes' rule, Bernoulli trials, Random variables, discrete random variable, probability mass function, continuous random variable, probability density function, cumulative distribution function, properties of cumulative distribution function, Two dimensional random variables and their distribution functions, Marginal probability function, Independent random variables.

Unit-2:  Some special Probability Distributions

Binomial distribution, Poisson distribution, Poisson approximation to the binomial distribution, Normal, Exponential and Gamma densities, Evaluation of statistical parameters for these distributions

Unit-3:  Basic Statistics

Measure of central tendency: Moments, Expectation, dispersion, skewness, kurtosis, expected value of two dimensional random variable, Linear Correlation, correlation coefficient, rank correlation coefficient, Regression, Bounds on probability, Chebyshev‘s Inequality

Unit-4:  Applied Statistics

Formation of Hypothesis, Test of significance: Large sample test for single proportion, Difference of proportions, Single mean, Difference of means, and Difference of standard deviations. Test of significance for Small samples: t- Test for single mean, difference of means, t-test for correlation coefficients, F- test for ratio of variances, Chi-square test for goodness of fit and independence of attributes.

Unit-5:  Curve fitting by the numerical method

Curve fitting by of method of least squares, fitting of straight lines, second degree parabola and more general curves

Chapter Wise Notes | Probability and Statistics | SEM 3

Notes	Download
Probability and Statistics (Darshan Notes)	Click Here
Probability	Click Here
Random Variable	Click Here
Random Variable 2	Click Here
Basic Statistics	Click Here
Basic Statistics 1	Click Here
Basic Statistics 2	Click Here
Basic Statistics 3	Click Here
Correlation and Regression	Click Here
Normal Distribution	Click Here
Binomial Distribution	Click Here
Applied Statistics 1	Click Here
Applied Statistics 2	Click Here
Curve Fitting	Click Here

Technical Book PDF | Probability and Statistics  | SEM 3

Notes	Download
Probability and Statistics (Darshan Notes)	Click Here
Probability	Click Here
Random Variable	Click Here
Basic Statistics	Click Here
Correlation and Regression	Click Here
Probability Distribution	Click Here
Applied Statistics	Click Here
Curve Fitting	Click Here

IMP's and Question Banks | Probability and Statistics  | SEM 3

Question Banks	Download
Imp Questions	Click Here
Imp Question 2	Click Here
Imp Question 3	Click Here
(Chapter 1) Imp Questions	Click Here
(Chapter 2) Imp Question	Click Here
(Chapter 3) Imp Question	Click Here
(Chapter 4) Imp Question	Click Here

GTU Old Papers | Probability and Statistics  | SEM 3

Year(Winter/Summer)	Question Paper
Winter 2019	Click Here
Winter 2020	Click Here
Winter 2021	Click Here
Summer 2020	Click Here
Summer 2021	Click Here

Course Outcome

• Understand the terminologies of basic probability, two types of random variables and their probability functions
• Observe and analyze the behavior of various discrete and continuous probability distributions
• Understand the central tendency, correlation and correlation coefficient and also regression
• Apply the statistics for testing the significance of the given large and small sample data by using t- test, F- test and Chi-square test
• Understand the fitting of various curves by method of least square

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