Statistics and probability

About this course

Introduction to probability and statistical inference. Topics include sample spaces, conditional probability and Bayes’ rule, random variables, discrete and continuous probability distributions, expectation, estimation, and hypothesis testing. The course objective is to provide a foundation in probability theory and statistical inference to solve applied problems and to prepare for more advanced courses

Expected learning outcomes

The course aims to impart to students theoretical knowledge and experience in practical application on probability theory, statistics and the basic concepts of stochastic analysis. Upon successful completion of the course the student will be able to:

  • Clearly explains concepts of statistics and probability 
  • calculate quantities for probability distributions and random variables
  • Performs statistical calculations. 
  • develop probabilistic and statistical models for certain applications, to compose approaches to problem solving in the science of engineering (in the strength of materials, production).

Indicative Syllabus

    – The role of statistics in engineering – Probability – Discrete RVs and Probability distributions – Continuous RVs and Probability distributions – Joint Probability Distributions – Descriptive statistics – Point Estimation Parameters and Sampling Distributions – Statistical intervals of a single sample – Test of Hypotheses for a single sample – Statistical inference for two samples – Simple linear regression and correlation – ANOVA – Statistical Quality control

    Teaching / Learning Methodology

    Lecture: the fundamentals of statistics and probability will be described using ppt presentations, demonstrating videos, Internet. The students are free to request help.

    The students are encouraged to solve problems and to use their own knowledge to verify their solutions before seeking assistance. Tutorial: a set of problems and group discussion topics will be arranged in the tutorial classes. Students are encouraged to solve problems before having solutions.

    Recommended Reading

    Douglas C. Montgomery and George C. Runge, “Applied Statistics and Probability for Engineers”
    Ronald Walpole “Probability & Statistics for Engineers & Scientists”. 
    Mendenhall W. & Sincich T., “Statistics for the Engineering and Computer Sciences”, Collier Macmillan Inc., Canada, 1988.

    Prerequisites

     

    Start Date

    2023

    End Date

    2024

    Apply

    2023

    ENROLL NOW

    Local Course Code

    TBA

    Cycle

    TBA

    Year of study

    TBA

    Language

    English

    Study Load

    5 ECTS

    Mode of delivery

    TBA

    Instructors

    Dr. Papadakis Nikos

    Course coordinator

    Dr. Papadakis Nikos

    E-mail

    npapadak@hmu.gr