Download MAT217 - European University Cyprus

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:
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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