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    Course Outline For Engineers

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    Zikra Abdusemed

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    © All Rights Reserved
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    Course Outline For Engineers

    Uploaded by

    Zikra Abdusemed
    7 views1 page

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    Course Outline for Engineers (1)

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    7 views1 page

    Course Outline For Engineers

    Uploaded by

    Zikra Abdusemed

    Copyright:

    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd
    Download as docx, pdf, or txt
    of 1

    ADDIS ABABA UNIVERSITY Credit: 5 ECTS

    DEPARTMENT OF STATISTICS
    Probability and Statistics for Engineers (Stat 2171)

    Course Outline
    1. Basic Concepts, methods of data collection and 5.1 Random variable: definition and distribution function
    presentation 5.2 Discrete random variables
    1.1 Introduction 5.3 Continuous random variables
    1.1.1 Definition and classification of Statistics 5.4 Cumulative distribution function and its properties
    1.1.2 Stages in statistical investigation 6. Functions of Random Variables
    1.1.3 Definition of Some Basic terms 6.1 Equivalent events
    1.1.4 Applications, uses and limitations of statistics 6.2 Functions of discrete random variables and their
    1.1.5 Types of variables and measurement scales distributions
    1.2 Methods of data collection and presentation 6.3 Functions of continuous random variables and their
    1.2.1 Methods of data collection distributions
    1.2.2 Sources and types of data 7. Two dimensional Random Variables
    1.2.3 Methods of data presentation 7.1 Two dimensional random variables
    1.2.3.1 Frequency distributions 7.2 Joint distributions for discrete and continuous random
    1.2.3.2 Diagrammatic and/or graphical variables
    presentation of data 7.3 Marginal and conditional distributions
    2. Summarizing of Data 7.4 Independent random variables
    2.1 Measures of central tendency 7.5 Distributions of functions of two dimensional random
    2.2 Types of measures of central tendency variables
    2.2.1 mean, mode, median 8. Expectation
    2.3 Measures of location: quantiles 8.1 Expectation of a random variable
    2.4 Measures of dispersion/variation 8.2 Expectation of a function of a random variable
    2.4.1 Range, variance, standard deviation and 8.3 Properties of Expectation
    coefficient of variation 8.4 Variance of a random variable and its properties
    2.5 Standard scores 8.5 Moments and moment generating function
    3. Elementary Probability 8.6 Chebychev’s Inequality
    3.1 Deterministic and non-deterministic models 8.7 Covariance, Correlation coefficient
    3.2 Review of set theory: sets, union, intersection, 9. Common Probability distributions
    complementation, De Morgan’s rules 9.1 Common Discrete Distributions and their Properties
    3.3 Random experiments, sample space and events 9.1.1 Binomial distribution
    3.4 Finite sample spaces and equally likely outcomes 9.1.2 Poisson distribution
    3.5 Counting techniques 9.1.3 Geometric distribution
    3.6 Definitions of probability 9.2 Common Continuous Distributions and their Properties
    3.7 Derived theorems of probability 9.2.1 Uniform distribution
    4. Conditional Probability and Independence 9.2.2 Normal distribution
    4.1 Conditional probability 9.2.3 Exponential distribution
    4.2 Multiplication theorem, Bayes’ Theorem, total 10. Simple Linear Regression and Correlation
    probability theorem 10.1 Introduction
    4.3 Independent events 10.2 Fitting simple linear regression
    5. One-dimensional Random Variables 10.3 Covariance and the correlation coefficient
    10.4 Rank correlation coefficient
    Suggested textbooks
    Ross, S. (2006). A First Course in Probability (7th Ed.). Prentice-Hall, New Jersey.
    Meyer L. P. (1970). Introductory Probability and Statistical Applications (2nd Ed.). Addison-Wesley Publ. Co., Massachusetts.
    References
    Cheaffer, R.L. and McClave, J.T (1994). Probability and Statistics for Engineers (4th Ed.). Duxbury Press, New York.
    Mendenhall, W., Beaver, R.J. and Bearer, B.M. (2008). Introduction to Probability and Statistics (13 th Ed.). Duxbury Press,
    Walpole, R. E., Myers, S.L. and Ye, K. (2006). Probability and Statistics for Engineers and Scientists (6th Ed.). Prentice-Hall,
    New Jersey.
    Teaching and learning methods: Lectures, tutorials and assignments
    Mode of Assessment:Tests and/or assignments 50%, Final Examination 50%

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