BSc CS sem 1 Descriptive Statistics and Introduction to Probability techmax/notes Download

Expected Learning Outcomes: 1) Enable learners to know descriptive statistical concepts 2) Enable study of probability concept required for Computer learners Unit I Data Presentation Data types : attribute, variable, discrete and continuous variable Data presentation : frequency distribution, histogram o give, curves, stem and leaf display Data Aggregation Measures of Central tendency: Mean, Median, mode for raw data, discrete, grouped frequency distribution. Measures dispersion: Variance, standard deviation, coefficient of variation for raw data, discrete and grouped frequency distribution, quartiles, quantiles Real life examples 15L Unit II Moments: raw moments, central moments, relation between raw and central moments Measures of Skewness and Kurtosis: based on moments, quartiles, relation between mean, median, mode for symmetric, asymmetric frequency curve. Correlation and Regression: bivariate data, scatter plot, correlation, nonsense correlation, Karl pearson’s coefficients of correlation, independence. Linear regression: fitting of linear regression using least square regression, coefficient of determination, properties of regression coefficients (only statement) 15L 12 Unit III Probability : Random experiment, sample space, events types and operations of events Probability definition : classical, axiomatic, Elementary Theorems of probability (without proof)  0 ≤ P(A) ≤ 1,  P(A  B) = P(A) + P(B) - P(A  B)  P (A’) = 1 - P(A)  P(A) ≤ P(B) if A  B Conditional probability, ‘Bayes’ theorem, independence, Examples on Probability 15L Text Book: 1. Trivedi, K.S.(2001) : Probability, Statistics, Design of Experiments and Queuing theory, with applications of Computer Science, Prentice Hall of India, New Delhi Additional References: 1. Ross, S.M. (2006): A First course in probability. 6th Edⁿ Pearson 2. Kulkarni, M.B., Ghatpande, S.B. and Gore, S.D. (1999): common statistical tests. Satyajeet Prakashan, Pune 3. Gupta, S.C. and Kapoor, V.K. (1987): Fundamentals of Mathematical Statistics, S. Chand and Sons, New Delhi 4. Gupta, S.C. and Kapoor, V.K. (1999): Applied Statistics, S. Chand and Son’s, New Delhi 5. Montgomery, D.C. (2001): Planning and Analysis of Experiments, wiley.