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جامعة العلوم التطبيقية الخاصة )ت.ع.( ج عمان – األردن APPLIED SCIENCE PRIVATE UNIVERSITY (A.S.U) AMMAN - JORDAN ف لن جعل م ن أردن الع رب جامعة لل عرب Faculty: Arts and Humanities Department : Basic Science Academic Year:2017/2016 Semester first ( Course Syllabus ) Course Title Probability Credit Hours Course No Perquisite Year/Semester 3 1501212 1501110 And statistics Coordinator Name Faten Issa Lec. /Lab. Credit Lecture: 3 Calculus Lecturer Faten Issa Room No 2214 Lab: 0 E-mail [email protected] Office hours Sun-tue-thu-11-12 Mon-wed 9:30 -11 Course objective Statistics, the subject of data analysis and data -based, is playing an increasing vital role in virtually all professions. The course presents the key statistical concepts and the most commonly applied methods of statistical analysis. The course is designed for computer science students. Course description The course probability and statistics will cover three major areas, descriptive statistics, axioms and theorems of probability, a collection of statistical methods for analyzing the types of data that are of common occurrence Intended learning outcomes: Successful completion of this course should lead to the following learning outcomes: A- Knowledge and understanding : A1) Understand the basic concepts of descriptive statistics A2) Understand the concepts of correlation coefficient A3) List basic concepts of linear regression A4) Study the axioms and theorems of probability A5) Understand the conditional probability and Baye's theorem A6) List the counting techniques and its application A7) Study discrete probability distributions such as binomial distribution, Poisson distribution A8) Study continuous distribution such as normal distribution, student's -t –distribution, chi-square distribution. A9) Understand central limit theorem. B-Intellectual skills B1) Describe data by tables and graphs B2) Analyze and summarize bivariate data B3) Compare between discrete and continuous distribution B4) Analyze data and draw inferences from large samples. C) Subject specific skills: C1) Implement solutions of descriptive statistics C2) Implement solutions of baye's theorem C3) Implement solutions of binomial distribution and Poisson distribution C4) Implement solutions of inferences about population parameters D- Transferable skills: D1) Home works and quizzes. D2) Assignments Course contents week 1 Topics Topic details Reference chapter 1 Assessment Introduction Course overview, basic concepts Descriptive statistics Measures of central tendency (Mean, median , mode) Measures of dispersion (range ,variance ,standard deviation ) Frequency distribution Graphs Measures of central tendency (mean ,median , mode) Measures of dispersion (range ,variance ,standard deviation) Counting techniques, Multiplication rule Permutation combination Axioms of probability Theorems of probability Conditional probability Baye's theorem independence 1 Probability distribution Discrete probability distribution Mean ,variance , standard deviation 3 Probability distribution Continuous probability distribution Mean ,variance ,standard deviation 3 Hw 3 Discrete probability Distribution Bernoulli distribution Binomial distribution Poisson distribution Normal distribution Properties Standard normal distribution Student t distribution Chi square distribution Central limits theorem 4 Hw 4 2/10-6/10 2 9/10-13/10 3 Descriptive statistics 16/10-20/10 4 Probability 23/10-27/10 5 probability 30/10-3/11 6 probability 6/11-10/11 7 13/11-17/11 8 20/11-24/11 9 27/11-1/12 10 4/12-8/12 11 11/12-15/12 Continuous Probability Distribution Continuous probability Distribution 1 Hw 1 2 Hw 2 2 2 First exam 5 5 12 Statistical inference 18/12-22/12 13 26/12-29/12 14 2/1-5/1 15 8/1-12/1 Statistical Inference Regression and correlation Regression and correlation 16 Estimation of the mean Proportion confidence interval for the mean Variance proportion Hypothesis testing : type I and type II error , test for the mean 6 Pearson's correlation coefficient , spearman's Correlation Linear regression , Perdition Final exam 9 Second exam 6 Hw 6 9 Grade distribution Assessment First exam Second exam Assignments(reports ,quizzes, home works Final examination grade 20% 8/11/2016 20% 13/12/2016 10% 50% 12/1/2017 date *Make- up exams will be offered for restricted reasons .it may be different from regular exams in content and format Reading list: Text book references 1) Salim.S. D.and abu-hweij: introduction to probability and statistics 2004 1) Richard A. Johnson : Statistics principles and methods second edition 2) Harold Larson : introduction to probability theory and statistical inference third edition