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MTH 2010: PROBABILITY AND STATISTICS COURSE SYLLABUS FALL SEMESTER 2010 DAY/TIME: SATURDAY – 1:30- 4:50 PM ROOM: BI CREDIT: 3 UNITS COURSE DESRIPTION Basic concepts of probability and statistics, descriptive statistics, discrete probability distributions, continuous probability distributions, mathematical expectation, moment generating functions (mgf), sampling, statistical inference, and applications. Pre-requisite: MTH 1109 COURSE OBJECTIVES At the end of this course, the students should be able to: show an understanding of the fundamental concepts in probability and statistics and their application to selected business operations and other related fields. have developed logical and rational approaches to problem solving and data analysis. make informed decisions about problems involving uncertainty. use IT (calculator/computer) in related problem solving. COURSE CONTENT Week 1-3 Definition of probability, basic concepts and terms, probability theory; probability tree and decision tree, counting principles, Bayes’ theorem, Markov chain, Expected value, and applications. Week 4-5 Descriptive statistics: measures of location and dispersion - mean, mode, median, skew ness and kurtosis, interquatile range and quartile deviation, variance, standard deviation, coefficient of variation and other measures for grouped and ungrouped data. Week 6-7 Measures of Relationship: correlation analysis, regression analysis, time-series analysis and applications. MID –TERM EXAM Week 8-9 Discrete probability distributions: Uniform, Bernoulli, Binomial, and Poisson Mathematical expectation (2): expected value of a random variable and function. Week 10-11 Continuous probability distribution: Uniform, Normal, Chi-square and Student’s distributions; central limit theorem, relationships and applications. Week 12 Introduction to Bivariate data and distributions: moments and sampling. Week 13-14 Introduction to statistical inference: confidence intervals and testing of hypothesis, applications. FINAL EXAMINATION TEACHING METHODOLOGY Lectures and discussions Problem solving exercises Assignments and group work COURSE TEXT T.H Wonnacott and R.J Wonnacott, Introductory Statistics for Business and Economics. READINGS 1 Richard A. Johnson and G.K. Bhattacharyya, Statistics Principles and Methods. 2 S.C Gupta and V.K. Kapoor, Fundamentals of Mathematical Statistics. COURSE EVALUATION Class Participation/attendance Assignments Group work I and II Mid-term Examination Final Examination TOTAL 5% 20% 25% 25% 25% 100% Note: (i) Own a scientific calculator: fx-570, or 991 or 992 ms. (ii) Avoid absenteeism: 5 absences will lead to an F grade. (iii) Avoid plagiarism. It will lead to a straight F.