BSc CSIT · Semester II
Statistics I syllabus
Official TU syllabus for Statistics I (STA169): 7 units, 47 topics, 3 credit hours. Every unit links to its notes and solved questions.
1
Introduction
4h · 4 Q- Basic concept of statistics
- Application of Statistics in the field of Computer Science & Information technology
- Scales of measurement
- Variables
- Types of Data
- Notion of a statistical population
2
Descriptive Statistics
6h · 23 Q- Measures of central tendency
- Measures of dispersion
- Measures of skewness
- Measures of kurtosis
- Moments
- Steam and leaf display
- five number summary
- box plot
- Problems and illustrative examples related to computer Science and IT
3
Introduction to Probability
8h · 7 Q- Concepts of probability
- Definitions of probability
- Laws of probability
- Bayes theorem
- prior and posterior probabilities
- Problems and illustrative examples related to computer Science and IT
4
Sampling
3h · 6 Q- Definitions of population
- sample survey vs. census survey
- sampling error and non sampling error
- Types of sampling
5
Random Variables and Mathematical Expectation
5h · 4 Q- Concept of a random variable
- Types of random variables
- Probability distribution of a random variable
- Mathematical expectation of a random variable
- Addition and multiplicative theorems of expectation
- Problems and illustrative examples related to computer Science and IT
6
Probability Distributions
12h · 24 Q- Probability distribution function
- Joint probability distribution of two random variables
- Discrete distributions: Bernoulli trial, Binomial and Poisson distributions
- Continuous distribution: Normal distributions
- Standardization of normal distribution
- Normal distribution as an approximation of Binomial and Poisson distribution
- Exponential, Gamma distribution
- Problems and illustrative examples related to computer Science and IT
7
Correlation and Linear Regression
7h · 9 Q- Bivariate data
- Bivariate frequency distribution
- Correlation between two variables
- Karl Pearson's coefficient of correlation(r)
- Spearman's rank correlation
- Regression Analysis: Fitting of lines of regression by the least squares method
- coefficient of determination
- Problems and illustrative examples related to computer Science and IT
Textbooks and references
- Michael Baron (2013). Probability and Statistics for Computer Scientists. 2nd Ed., CRC Press, Taylor & Francis Group, A Chapman & Hall Book.
- Ronald E. Walpole, Raymond H. Myers, Sharon L. Myers, & Keying Ye (2012). Probability & Statistics for Engineers & Scientists. 9th Ed., Printice Hall.
- Douglas C. Montgomery & George C. Ranger (2003). Applied Statistics and Probability for Engineers. 3rd Ed., John Willey and Sons, Inc.
- Richard A. Johnson (2001). Probability and Statistics for Engineers. 6th Ed., Pearson Education, India
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