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Course Outline For Probability and Statistics

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Ambo University

College of Natural and Computational Sciences


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%

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