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Course unit title: Probability and Statistics Course unit code: MAT217 Type of course unit: Compulsory (Compulsory/optional) Level of course unit: Bachelor (1st cycle) (First, second or third cycle) Year of study: 2 Semester when the unit is delivered: Number of ECTS credits allocated: Name of lecturer(s): 4 6 Elias Savvides, Haris Christodoulou, Demetris Hadjiloucas Learning outcomes of the course unit: Upon succesful completion of this course students should be able to: Appropriately use tabular and graphical methods of analysing and presenting qualitative and quantitative data Construct, interpret, and use numerical measures of location and variability for the sample and the population Apply basic probability concepts in decision-making Describe the properties of the Binomial, Poisson and Normal distributions, and apply the concepts of expected value and variance of a probability distribution to a variety of business applications Explain the concept of sampling distribution and the role of the Central Limit Theorem in inferential statistics Construct and interpret interval estimates for a population mean and proportion Calculate and interpret statistical decisions from hypothesis testing techniques including chisquare, t-tests, correlation, and regression analysis Mode of delivery: Face- to- face Prerequisites and corequisites: Recommended optional program components: Course Contents: MAT102 None Objective: This course provides the engineer a good knowledge of applications of statistics to industrial data by dealing with statistical techniques rather than statistics theory. Description: Probability: Definitions. Laws of Probability Relationships. Bayes’ Theorem of Inverse Probability. Permutations and Combinations: Permutations. Combinations. Relations between Permutations and Combinations. Applications. Distributions: Binomial Distribution. Binomial Expansion. Cumulative Binomial Probability. Poisson Distribution. Cumulative Poisson Distribution. Normal Distribution. The standard Deviate. Significance Level. Normal Scores Plot. Statistical Measures: Measures of Central Tendency. Mean, Median, Mode, Geometric Mean, Harmonic Mean, Measures of Variability. Standard Deviation, Variance, Range. Degrees of Freedom. Number of Significant Digits. x2, Chi Square: Definition. The Null Hypothesis. Degrees of Freedom. Correction for Continuity. Effect of Sample Size. x2 for Ratios. Contingency Tables. Goodness-of-fit. x2 for Degrees of Freedom Greater than 30. The t Test: Definition. Degrees of Freedom. The Null Hypothesis. Estimation of the True Mean. Onesided t Test. Confidence Range. Difference between the Mean and Zero. Difference between Two Means. Limiting Type II Errors. Power of a Test. Applications. Correlation-Regression: Linear Correlation of Two Variables. The Least-squares Line. Significance of a Linear Correlation. Confidence Limits of Slope and Least-squares Line. Comparison of Two Slopes. Linear Regression Computer Calculations. Recent developments and contemporary issues pertaining to the subject-matter of the course. Recommended or required reading: Johnson, R.A., PROBABILITY AND STATISTICS FOR ENGINEERS, Prentice Hall Volk, W., APPLIED STATISTICS FOR ENGINEERS McGraw Hill Walpole, R.E. & Mayers R.H., PROBABILITY AND STATISTICS FOR ENGINEERS AND SCIENTISTS Macmillan Strait, P., PROBABILITY AND STATISTICS WITH APPLICATIONS, Harcourt Brace Juvanovich De Groot, M.H., PROBABILITY AND STATISTICS Wesley Bain, L.T. & Engelhardt, M., PROBABILITY AND MATHEMATICAL STATISTICS, Thomson Planned learning activities and teaching methods: Assessment methods and criteria: Class Instruction Consultation Examinations Class participation 42 Hours 15 Hours 95% 5% 100% Language of instruction: English Work placement(s): No Place of Teaching: Regular Classroom European University Cyprus, Nicosia