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MBA 604 Introduction Probaility and Statistics Lecture Notes

Through its graduate programs, Elon University gives students the opportunity to acquire a high level of competence in their fields of interest and to gain significant experience in the application of advanced knowledge and skills. Graduate programs offered at Elon foster a stimulating intellectual community based upon close interaction with faculty, academic engagement with peers in and out of the classroom, and a university environment fully committed to supporting inquiry and research. Graduates from Elon’s advanced degree programs are prepared to assume positions as active professionals committed to continued learning and to the advancement of their professions. . | MBA 604 Introduction Probaility and Statistics Lecture Notes Muhammad El-Taha Department of Mathematics and Statistics University of Southern Maine 96 Falmouth Street Portland ME 04104-9300 MBA 604 Spring 2003 MBA 604 Introduction to Probability and Statistics Course Content. Topic 1 Data Analysis Topic 2 Probability Topic 3 Random Variables and Discrete Distributions Topic 4 Continuous Probability Distributions Topic 5 Sampling Distributions Topic 6 Point and Interval Estimation Topic 7 Large Sample Estimation Topic 8 Large-Sample Tests of Hypothesis Topic 9 Inferences From Small Sample Topic 10 The Analysis of Variance Topic 11 Simple Linear Regression and Correlation Topic 12 Multiple Linear Regression 1 Contents 1 Data Analysis 5 1 Introduction. 5 2 Graphical Methods. 7 3 Numerical methods. 9 4 Percentiles. 16 5 Sample Mean and Variance For Grouped Data . 17 6 z-score. 17 2 Probability 22 1 Sample Space and Events . 22 2 Probability of an event. 23 3 Laws of Probability. 25 4 Counting Sample Points. 28 5 Random Sampling . 30 6 Modeling Uncertainty. 30 3 Discrete Random Variables 35 1 Random Variables. 35 2 Expected Value and Variance . 37 3 Discrete Distributions. 38 4 Markov Chains. 40 4 Continuous Distributions 48 1 Introduction. 48 2 The Normal Distribution. 48 3 Uniform U a b . 51 4 Exponential. 52