This document outlines the course details for a Probability and Statistics for Engineers course offered at Ambo University. The course is 3 credit hours and covers topics such as basic statistical concepts, methods of data collection and presentation, measures of central tendency and dispersion, probability, random variables, common probability distributions, and expectation. The textbook for the course is Introductory Probability and Statistical Applications by Meyer L. P. Assessment will be based on tests/assignments (50%) and a final exam (50%).
This document outlines the course details for a Probability and Statistics for Engineers course offered at Ambo University. The course is 3 credit hours and covers topics such as basic statistical concepts, methods of data collection and presentation, measures of central tendency and dispersion, probability, random variables, common probability distributions, and expectation. The textbook for the course is Introductory Probability and Statistical Applications by Meyer L. P. Assessment will be based on tests/assignments (50%) and a final exam (50%).
This document outlines the course details for a Probability and Statistics for Engineers course offered at Ambo University. The course is 3 credit hours and covers topics such as basic statistical concepts, methods of data collection and presentation, measures of central tendency and dispersion, probability, random variables, common probability distributions, and expectation. The textbook for the course is Introductory Probability and Statistical Applications by Meyer L. P. Assessment will be based on tests/assignments (50%) and a final exam (50%).
This document outlines the course details for a Probability and Statistics for Engineers course offered at Ambo University. The course is 3 credit hours and covers topics such as basic statistical concepts, methods of data collection and presentation, measures of central tendency and dispersion, probability, random variables, common probability distributions, and expectation. The textbook for the course is Introductory Probability and Statistical Applications by Meyer L. P. Assessment will be based on tests/assignments (50%) and a final exam (50%).
Department of Statistics Course Name: Probability and Statistics for Engineers Course Code: Stat 262 Cr. Hrs. 3(3+2) Academic Year: 2020/21 Stud's Department: Mechanical Engineering Year III Semester I Instructor: Jiregna O. ECTS: 4 Cellphone: +251-9-20-40-95-05 Course Outline 1. Basic Concepts, Methods of data collection and presentation 1.1.Introduction 1.1.1. Definition and classification of Statistics 1.1.2. Stages in statistical investigation 1.1.3. Definition of Some Basic terms 1.1.4. Applications, uses and limitations of Statistics 1.1.5. Types of variables and measurement scales 1.2.Methods of data collection and presentation 1.2.1. Methods of data collection 1.2.2. Source and types of data 1.2.3. Methods of data presentation 1.2.3.1.Frequency distributions 1.2.3.2.Diagrammatic and/or graphical presentation of data: Bar charts, pie-chart, pictogram, Histogram, Frequency polygon, Ogive curve, Stem and leaf plot 2. Summarizing of Data 2.1.Measures of central Tendency: objectives of measuring central tendency 2.2.Types of measures of central tendency 2.2.1. The mean (Arithmetic, weighted, Geometric and Harmonic) 2.2.2. The mode 2.2.3. The Median 2.3.Measures of location: Quantiles (Quartiles, Deciles and Percentiles) 2.4.Measures of Dispersion/Variation 2.4.1. Range, Variance, Standard deviation and coefficient of variation 2.5.Standard scores 3. Elementary Probability 3.1.Deterministic and non-deterministic models 3.2.Review of set theory: sets, union, intersection, complementation, De Morgan’s rules 3.3.Finite sample spaces and equally likely outcomes 3.4.Counting techniques, Definitions of probability, and Derived theorems of probability 4. Conditional Probability and Independence 4.1.Conditional Probability 4.2.Multiplication theorem, Bayes’ Theorem and Total probability theorem 4.3.Independent Events 5. Expectation 5.1.Expectation of a random variable, Expectation of a function of a random variable, Properties of expectation 5.2.Variance of a random variable and its Properties 5.3.Moments and moment generating function, Chebyshev’s Inequality, Covariance, and Correlation Coefficient 6. One-dimensional Random Variables 3.1 Random variable: definition and distribution function 3.2 Discrete, Continuous random variables and Cumulative distribution function a nd its properties
7. Two dimensional Random Variables
7.1.Joint distributions for discrete and continuous random variables 7.2.Marginal and conditional distributions 7.3.Independent random variables 7.4.Distributions of functions of two dimensional random variables 8. Common Probability distributions 8.1.Common Discrete Distributions and their Properties 8.1.1. Binomial, Poisson, and Geometric distribution 8.2.Common Continuous Distributions and their Properties 8.2.1. Uniform, Normal, and Exponential distribution Textbooks Meyer L. P. Introductory Probability and Statistical Applications (2nd Edition), Amerin d Pub. Co. Prentice-Hall, Upper Saddle River, New Jersey. References 1. Bluman, A.G. Elementary Statistics: A Step by Step Approach. 2. Cheaffer, R.L. and McClave, J.T (1994). Probability and Statistics for Engineers (4th Edition). Duxbury Press. 3. Mendenhall, W., Beaver, R.J. and Bearer, B.M. (2008). Introduction to Probability and Statistics (13th Edition). Duxbury Press. 4. Walpole, R. E., Myers, S.L. and Ye, K. (2006). Probability and Statistics for 5. Engineers and Scientists (6th Edition). Prentice Hall. Teaching and learning methods Lectures, tutorials and assignments Mode of Assessment Tests and/or assignments ---------------------------------------------------------------50% Final Examination --------------------------------------------------------------------------50% Total -------------------------------------------------------------------------------------------100%