Probability and Statistics
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Probability and Statistics Syllabus — Unit-wise Content
The official GTU curriculum for Probability and Statistics (subject code 3130006) as prescribed for Manufacturing · Semester 3 divides the course into 5 units, covering 41 listed topics. The unit-wise breakdown below is read from the GTU syllabus document for this subject code, so you can check what the course actually covers before deciding which papers to attempt.
Download the official syllabus PDF (3130006)Unit 1 Basic Probability
- 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
- Exponential and Gamma densities
- Evaluation of statistical parameters for these distributions
Unit 3 Basic Statistics
- Measure of central tendency: Moments
- expected value of two dimensional random variable
- Linear Correlation
- correlation coefficient
- rank correlation coefficient
- 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
- Subject Code: 3130006 2
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